mersenne.ca - Page 84

petrw1 · 2022-05-16, 19:02

Quote:

Originally Posted by James Heinrich

I said no back then, but I've changed my mind. You can now see who missed the P-1 factor and when.

You can also look at the list by user and by year, and see that both LaurV and George have missed a P-1 factor.

Hmmm...I've missed 4, one recently (10 months ago); interestingly I found it myself via TF a couple months later.

Could this suggest a bug in Prime95? or more likely a hardware failure?

James Heinrich · 2022-05-16, 19:31

Quote:

Originally Posted by petrw1

Could this suggest a bug in Prime95? or more likely a hardware failure?

Early versions of Prime95 had P-1 bugs so there's lots of P-1 efforts from circa 2000-2005 that missed lots of factors.

But aside from that, there are still a (small) number of P-1 failures still occurring. I would guess that they're more hardware-failure than software-related, but I don't know enough to comment any more than that.

chalsall · 2022-05-16, 21:07

Quote:

Originally Posted by James Heinrich

I said no back then, but I've changed my mind. You can now see who missed the P-1 factor and when.

Huge

James!

There's nothing quite like the empirical...

Stargate38 · 2022-05-26, 00:43

Please add support for TF "no factor" results 2^32<p<10^10. There are 251,772,290 prime exponents in that range, and I want to be able to see how much TF has been run on such exponents without known factors. I see no reason why you couldn't add support for that. Without it, there's no way of knowing the progress on such exponents (unless a factor is found). Also, where on the Internet are people supposed to post results (factor or no factor) for exponents >10^10 (beyond Mersenne.ca's range) that aren't Double Mersennes? For example, M(10^10+19) or M(1111111111111111111). There needs to be a centralized place to put those as well - even if it's not on Mersenne.ca - as it would provide people (not just me) with a place to put such factors, given that Factor5 isn't limited to exponents <10^10.

James Heinrich · 2022-05-26, 01:30

Quote:

Originally Posted by Stargate38

Please add support for TF "no factor" results 2^32<p<10^10. There are 251,772,290 prime exponents in that range, and I want to be able to see how much TF has been run on such exponents without known factors. I see no reason why you couldn't add support for that.

57 bits (mostly).
TF in 1G-4G range does not record details for trivial efforts (less than 1GHz-day), and currently no detailed TF efforts above 4G are recorded, mostly for disk space / database size reasons. The effort to get the work to the 57-bit level was done by a very small group of reliable volunteers working in very large ranges taking entire 1G ranges to a higher bitlevel. I'm not prepared (yet) to open the 4G-10G range to public random contribution of NF results (which cannot be verified). TF-F results are fine since they are immediately verifiable. But in general I strongly discourage work above the 4G range for now.

Quote:

Originally Posted by Stargate38

where on the Internet are people supposed to post results (factor or no factor) for exponents >10^10 (beyond Mersenne.ca's range) that aren't Double Mersennes? For example, M(10^10+19) or M(1111111111111111111). There needs to be a centralized place to put those as well - even if it's not on Mersenne.ca - as it would provide people (not just me) with a place to put such factors, given that Factor5 isn't limited to exponents <10^10.

Anyone could easily generate hundreds of millions of trivial factors for Mersenne exponents >10G faster than you could find somewhere to put them. You need to put the cutoff somewhere. Mersenne.ca does have limited capability of storing "interesting" factors for exponents >10G, where "interesting" is currently defined as k>=1M. These factors are currently archived but not available for public browsing (not because they're secret, I just haven't gotten around to writing such mechanism to do so). They're available as an SQL export at the very bottom of the export page.

SethTro · 2022-06-07, 00:47

Because of a couple of discussion of M1277 kriesel asked if I could update the data I provided you in #660. Let me know if there's a more convenient format

It might also be good if you rerun the query from #594 to see if there are any new larger ecm bounds curves.

Using the new t70/t75 counts M1277 show at least 2.25 complete for t65 and at least 0.487 complete for t70

Code:

	array(1000, 65000, 5057, 711551),
	array(1000, 1000000, 5057, 711551),
	array(10000, 1000000, 94, 2160, 76404, 3806166),
	array(10000, 5000000, 94, 2160, 76404, 3806166),
	array(25000, 5000000, 35, 496, 10448, 303892),
	array(45000, 4500000, 22, 232, 3725, 81321, 2286024),
	array(47000, 4700000, 21, 224, 3534, 75828, 2093402),
	array(49000, 4900000, 21, 218, 3387, 70740, 1918496),
	array(50000, 0, 21, 214, 3283, 69076, 1847472),
	array(50000, 50000, 21, 214, 3283, 69076, 1847472),
	array(50000, 500000, 21, 214, 3283, 69076, 1847472),
	array(50000, 4150000, 21, 214, 3283, 69076, 1847472),
	array(50000, 4550000, 21, 214, 3283, 69076, 1847472),
	array(50000, 4650000, 21, 214, 3283, 69076, 1847472),
	array(50000, 4750000, 21, 214, 3283, 69076, 1847472),
	array(50000, 4850000, 21, 214, 3283, 69076, 1847472),
	array(50000, 4900000, 21, 214, 3283, 69076, 1847472),
	array(50000, 5000000, 21, 214, 3283, 69076, 1847472),
	array(50000, 5000001, 21, 214, 3283, 69076, 1847472),
	array(50000, 5100000, 21, 214, 3283, 69076, 1847472),
	array(50000, 5200000, 21, 214, 3283, 69076, 1847472),
	array(50000, 5270912, 21, 214, 3283, 69076, 1847472),
	array(50000, 5400000, 21, 214, 3283, 69076, 1847472),
	array(50000, 5630013, 21, 214, 3283, 69076, 1847472),
	array(50000, 5750000, 21, 214, 3283, 69076, 1847472),
	array(50000, 5900000, 21, 214, 3283, 69076, 1847472),
	array(50000, 6050000, 21, 214, 3283, 69076, 1847472),
	array(50000, 6180426, 21, 214, 3283, 69076, 1847472),
	array(50000, 6300000, 21, 214, 3283, 69076, 1847472),
	array(50000, 6350000, 21, 214, 3283, 69076, 1847472),
	array(50000, 6400000, 21, 214, 3283, 69076, 1847472),
	array(50000, 6450000, 21, 214, 3283, 69076, 1847472),
	array(50000, 6470424, 21, 214, 3283, 69076, 1847472),
	array(50000, 6500000, 21, 214, 3283, 69076, 1847472),
	array(50000, 6606829, 21, 214, 3283, 69076, 1847472),
	array(50000, 6646918, 21, 214, 3283, 69076, 1847472),
	array(50000, 6650000, 21, 214, 3283, 69076, 1847472),
	array(50000, 6700000, 21, 214, 3283, 69076, 1847472),
	array(50000, 6750000, 21, 214, 3283, 69076, 1847472),
	array(50000, 6800000, 21, 214, 3283, 69076, 1847472),
	array(50000, 10000000, 21, 214, 3283, 69076, 1847472),
	array(50000, 11760000, 21, 214, 3283, 69076, 1847472),
	array(50000, 13428460, 21, 214, 3283, 69076, 1847472),
	array(50000, 13775590, 21, 214, 3283, 69076, 1847472),
	array(50000, 14400000, 21, 214, 3283, 69076, 1847472),
	array(50000, 50000000, 21, 214, 3283, 69076, 1847472),
	array(50000, 219716459349, 21, 214, 3283, 69076, 1847472),
	array(51000, 5000000, 20, 202, 3072, 63563, 1689994),
	array(51000, 5100000, 20, 202, 3072, 63563, 1689994),
	array(60000, 6000000, 17, 169, 2403, 45870, 1133307),
	array(65000, 5000000, 17, 160, 2189, 40886, 976611),
	array(65000, 6500000, 17, 160, 2189, 40886, 976611),
	array(70000, 7100000, 17, 152, 2036, 36883, 852935),
	array(70000, 7300000, 17, 152, 2036, 36883, 852935),
	array(74000, 7400000, 15, 133, 1734, 30600, 689871),
	array(75000, 7500000, 15, 131, 1715, 30234, 673221),
	array(75000, 10500000, 15, 131, 1715, 30234, 673221),
	array(76620, 10000000, 15, 130, 1680, 29230, 648794),
	array(76620, 15000000, 15, 130, 1680, 29230, 648794),
	array(76620, 23259610, 15, 130, 1680, 29230, 648794),
	array(76620, 24176890, 15, 130, 1680, 29230, 648794),
	array(76620, 26954350, 15, 130, 1680, 29230, 648794),
	array(76620, 30000000, 15, 130, 1680, 29230, 648794),
	array(80000, 8000000, 15, 127, 1613, 27611, 602639),
	array(100000, 10000000, 13, 104, 1220, 19178, 382991, 9347212),
	array(100000, 10500000, 13, 104, 1220, 19178, 382991, 9347212),
	array(100000, 11125212, 13, 104, 1220, 19178, 382991, 9347212),
	array(100000, 11893855, 13, 104, 1220, 19178, 382991, 9347212),
	array(100000, 12255006, 13, 104, 1220, 19178, 382991, 9347212),
	array(100000, 12277371, 13, 104, 1220, 19178, 382991, 9347212),
	array(100000, 12600602, 13, 104, 1220, 19178, 382991, 9347212),
	array(100000, 12625951, 13, 104, 1220, 19178, 382991, 9347212),
	array(100000, 12700000, 13, 104, 1220, 19178, 382991, 9347212),
	array(100000, 13585673, 13, 104, 1220, 19178, 382991, 9347212),
	array(100000, 13600000, 13, 104, 1220, 19178, 382991, 9347212),
	array(100000, 13725214, 13, 104, 1220, 19178, 382991, 9347212),
	array(100000, 13800000, 13, 104, 1220, 19178, 382991, 9347212),
	array(100000, 14200000, 13, 104, 1220, 19178, 382991, 9347212),
	array(100000, 14413889, 13, 104, 1220, 19178, 382991, 9347212),
	array(150000, 20550000, 11, 76, 774, 10491, 181394, 3771723),
	array(199900, 19990000, 9, 55, 510, 6215, 96060, 1783902),
	array(200000, 20000000, 9, 55, 510, 6214, 96047, 1783619),
	array(235000, 23500000, 8, 51, 451, 5235, 76956, 1355702),
	array(250000, 25000000, 8, 50, 430, 4911, 70940, 1226976),
	array(250000, 30000000, 8, 50, 430, 4911, 70940, 1226976),
	array(250000, 30050537, 8, 50, 430, 4911, 70940, 1226976),
	array(250000, 30419426, 8, 50, 430, 4911, 70940, 1226976),
	array(250000, 32616915, 8, 50, 430, 4911, 70940, 1226976),
	array(250000, 35880562, 8, 50, 430, 4911, 70940, 1226976),
	array(250000, 36500000, 8, 50, 430, 4911, 70940, 1226976),
	array(250000, 37170685, 8, 50, 430, 4911, 70940, 1226976),
	array(250000, 37569102, 8, 50, 430, 4911, 70940, 1226976),
	array(250000, 38060828, 8, 50, 430, 4911, 70940, 1226976),
	array(250000, 38075084, 8, 50, 430, 4911, 70940, 1226976),
	array(250000, 38104631, 8, 50, 430, 4911, 70940, 1226976),
	array(250000, 38123960, 8, 50, 430, 4911, 70940, 1226976),
	array(250000, 38141102, 8, 50, 430, 4911, 70940, 1226976),
	array(250000, 38172094, 8, 50, 430, 4911, 70940, 1226976),
	array(250000, 38253153, 8, 50, 430, 4911, 70940, 1226976),
	array(250000, 38299066, 8, 50, 430, 4911, 70940, 1226976),
	array(250000, 38317896, 8, 50, 430, 4911, 70940, 1226976),
	array(250000, 38357144, 8, 50, 430, 4911, 70940, 1226976),
	array(250000, 38500000, 8, 50, 430, 4911, 70940, 1226976),
	array(250000, 38750000, 8, 50, 430, 4911, 70940, 1226976),
	array(250000, 50000000, 8, 50, 430, 4911, 70940, 1226976),
	array(250000, 124922710, 8, 50, 430, 4911, 70940, 1226976),
	array(250000, 129632592, 8, 50, 430, 4911, 70940, 1226976),
	array(250000, 145000000, 8, 50, 430, 4911, 70940, 1226976),
	array(250000, 183032866, 8, 50, 430, 4911, 70940, 1226976),
	array(445657, 50000000, 6, 32, 238, 2273, 27186, 386763, 6501919),
	array(500000, 500000, 6, 31, 222, 2051, 23765, 330198, 5310523),
	array(500000, 50000000, 6, 31, 222, 2051, 23765, 330198, 5310523),
	array(1000000, 1000000, 5, 20, 118, 910, 8615, 97096, 1281819),
	array(1000000, 10000000, 5, 20, 118, 910, 8615, 97096, 1281819),
	array(1000000, 100000000, 5, 20, 118, 910, 8615, 97096, 1281819),
	array(1000000, 974637522, 5, 20, 118, 910, 8615, 97096, 1281819),
	array(2100100, 200100100, 4, 14, 70, 452, 3593, 33518, 364001, 4448618),
	array(2500000, 250000000, 4, 13, 63, 391, 2972, 26692, 276503, 3272835),
	array(3000000, 3000000, 3, 11, 54, 324, 2351, 20272, 201449, 2247436),
	array(3000000, 100000000, 3, 11, 54, 324, 2351, 20272, 201449, 2247436),
	array(3000000, 300000000, 3, 11, 54, 324, 2351, 20272, 201449, 2247436),
	array(3000000, 528000000, 3, 11, 54, 324, 2351, 20272, 201449, 2247436),
	array(3000000, 1000000000, 3, 11, 54, 324, 2351, 20272, 201449, 2247436),
	array(3000000, 3000000000, 3, 11, 54, 324, 2351, 20272, 201449, 2247436),
	array(3000000, 4592487916, 3, 11, 54, 324, 2351, 20272, 201449, 2247436),
	array(4000000, 400000000, 3, 10, 45, 256, 1755, 14170, 131563, 1379846),
	array(6000000, 600000000, 3, 9, 36, 186, 1170, 8664, 73566, 704069, 7493024),
	array(10000000, 100000000, 2, 7, 27, 127, 726, 4827, 36882, 316724, 3016843),
	array(10000000, 250000000, 2, 7, 27, 127, 726, 4827, 36882, 316724, 3016843),
	array(10000000, 1000000000, 2, 7, 27, 127, 726, 4827, 36882, 316724, 3016843),
	array(10100100, 900100100, 2, 7, 27, 126, 720, 4812, 36491, 313008, 2976869),
	array(11000000, 11000000, 2, 7, 26, 122, 686, 4482, 33676, 284176, 2657998),
	array(11000000, 110000000, 2, 7, 26, 122, 686, 4482, 33676, 284176, 2657998),
	array(11000000, 310000000, 2, 7, 26, 122, 686, 4482, 33676, 284176, 2657998),
	array(11000000, 1100000000, 2, 7, 26, 122, 686, 4482, 33676, 284176, 2657998),
	array(11000000, 2500000000, 2, 7, 26, 122, 686, 4482, 33676, 284176, 2657998),
	array(11000000, 30114149530, 2, 7, 26, 122, 686, 4482, 33676, 284176, 2657998),
	array(11000000, 36578884662, 2, 7, 26, 122, 686, 4482, 33676, 284176, 2657998),
	array(11000000, 100000000000, 2, 7, 26, 122, 686, 4482, 33676, 284176, 2657998),
	array(23000000, 23000000, 2, 6, 19, 78, 386, 2226, 14607, 106459, 862645, 7643809),
	array(23000000, 81050459506, 2, 6, 19, 78, 386, 2226, 14607, 106459, 862645, 7643809),
	array(23359695, 2335969500, 2, 6, 19, 77, 382, 2203, 14339, 105066, 850096, 7516076),
	array(25000000, 2500000000, 2, 5, 18, 75, 369, 2098, 13567, 98072, 782430, 6815759),
	array(30000000, 3000000000, 2, 5, 17, 66, 316, 1739, 10946, 76471, 589133, 4954342),
	array(41000000, 4100000000, 2, 5, 15, 57, 261, 1371, 8157, 54108, 395251, 3148738),
	array(42000000, 4200000000, 2, 5, 15, 57, 257, 1346, 7993, 52905, 385579, 3063831),
	array(43000000, 4300000000, 2, 5, 14, 55, 246, 1286, 7557, 49831, 361851, 2844041),
	array(43000000, 198654756318, 2, 5, 14, 55, 246, 1286, 7557, 49831, 361851, 2844041),
	array(44000000, 44000000, 2, 5, 14, 54, 244, 1263, 7458, 48746, 353227, 2771147),
	array(44000000, 4400000000, 2, 5, 14, 54, 244, 1263, 7458, 48746, 353227, 2771147),
	array(44000000, 100000000000, 2, 5, 14, 54, 244, 1263, 7458, 48746, 353227, 2771147),
	array(44000000, 223505479902, 2, 5, 14, 54, 244, 1263, 7458, 48746, 353227, 2771147),
	array(44000000, 251421670516, 2, 5, 14, 54, 244, 1263, 7458, 48746, 353227, 2771147),
	array(48000000, 251426235076, 2, 5, 14, 53, 233, 1201, 6993, 45044, 321493, 2482301),
	array(48000000, 279380917212, 2, 5, 14, 53, 233, 1201, 6993, 45044, 321493, 2482301),
	array(48000000, 297984687018, 2, 5, 14, 53, 233, 1201, 6993, 45044, 321493, 2482301),
	array(48000000, 298483725556, 2, 5, 14, 53, 233, 1201, 6993, 45044, 321493, 2482301),
	array(107000000, 10700000000, 2, 4, 10, 35, 137, 624, 3197, 18279, 114063, 773211, 5683408),
	array(109000000, 10900000000, 2, 4, 10, 34, 136, 618, 3161, 17948, 112428, 760974, 5551920),
	array(110000000, 110000000, 2, 4, 10, 34, 135, 614, 3135, 17884, 111314, 752662, 5482978),
	array(110000000, 2500000000, 2, 4, 10, 34, 135, 614, 3135, 17884, 111314, 752662, 5482978),
	array(110000000, 11000000000, 2, 4, 10, 34, 135, 614, 3135, 17884, 111314, 752662, 5482978),
	array(110000000, 100000000000, 2, 4, 10, 34, 135, 614, 3135, 17884, 111314, 752662, 5482978),
	array(110000000, 110000000000, 2, 4, 10, 34, 135, 614, 3135, 17884, 111314, 752662, 5482978),
	array(110000000, 776278396540, 2, 4, 10, 34, 135, 614, 3135, 17884, 111314, 752662, 5482978),
	array(110000000, 900514153782, 2, 4, 10, 34, 135, 614, 3135, 17884, 111314, 752662, 5482978),
	array(110000000, 1000000000000, 2, 4, 10, 34, 135, 614, 3135, 17884, 111314, 752662, 5482978),
	array(111000000, 11100000000, 2, 4, 10, 34, 135, 612, 3127, 17723, 110211, 744466, 5420723),
	array(113000000, 11300000000, 2, 4, 10, 33, 130, 587, 2989, 16888, 104704, 705308, 5121154),
	array(160000000, 1288647750406, 2, 3, 9, 28, 107, 461, 2234, 12008, 70702, 451708, 3107713),
	array(180000000, 180000000, 2, 3, 9, 28, 102, 436, 2081, 11013, 63817, 401017, 2711504),
	array(190000000, 2383889958466, 2, 3, 8, 26, 95, 401, 1893, 9947, 57218, 354956, 2384531),
	array(260000000, 260000000, 2, 3, 8, 23, 82, 335, 1521, 7650, 42057, 250476, 1603736),
	array(260000000, 26000000000, 2, 3, 8, 23, 82, 335, 1521, 7650, 42057, 250476, 1603736),
	array(260000000, 1000000000000, 2, 3, 8, 23, 82, 335, 1521, 7650, 42057, 250476, 1603736),
	array(260000000, 3079973376496, 2, 3, 8, 23, 82, 335, 1521, 7650, 42057, 250476, 1603736),
	array(260000000, 10000000000000, 2, 3, 8, 23, 82, 335, 1521, 7650, 42057, 250476, 1603736),
	array(500000000, 6704868340188, 1, 3, 6, 18, 59, 219, 917, 4234, 21335, 116936, 683883, 4265169),
	array(800000000, 80000000000, 1, 3, 6, 15, 48, 171, 680, 2979, 14216, 72827, 402096, 2365532),
	array(850000000, 850000000, 1, 3, 6, 15, 47, 168, 661, 2867, 13623, 69471, 381778, 2221086),
	array(850000000, 10000000000, 1, 3, 6, 15, 47, 168, 661, 2867, 13623, 69471, 381778, 2221086),
	array(850000000, 85000000000, 1, 3, 6, 15, 47, 168, 661, 2867, 13623, 69471, 381778, 2221086),
	array(850000000, 10000000000000, 1, 3, 6, 15, 47, 168, 661, 2867, 13623, 69471, 381778, 2221086),
	array(850000000, 14142901172416, 1, 3, 6, 15, 47, 168, 661, 2867, 13623, 69471, 381778, 2221086),
	array(850000000, 15716618487586, 1, 3, 6, 15, 47, 168, 661, 2867, 13623, 69471, 381778, 2221086),
	array(850000000, 100000000000000, 1, 3, 6, 15, 47, 168, 661, 2867, 13623, 69471, 381778, 2221086),
	array(880000000, 880000000, 1, 3, 6, 15, 47, 165, 649, 2825, 13317, 67743, 369131, 2141595),
	array(880000000, 1320000000, 1, 3, 6, 15, 47, 165, 649, 2825, 13317, 67743, 369131, 2141595),
	array(900000000, 90000000000, 1, 3, 6, 15, 47, 164, 643, 2778, 13071, 66375, 361038, 2091733),
	array(999999999, 99999999900, 1, 3, 5, 14, 44, 154, 599, 2553, 11843, 59619, 319570, 1823365),
	array(1000000000, 100000000000, 1, 3, 5, 14, 44, 154, 599, 2553, 11843, 59619, 319570, 1823365),
	array(1200000000, 1200000000, 1, 2, 5, 14, 41, 140, 532, 2223, 10112, 49596, 260361, 1454702, 8555813),
	array(1320000000, 1320000000, 1, 2, 5, 13, 38, 129, 482, 1998, 8959, 43299, 225284, 1239842, 7219598),
	array(1500000000, 1500000000, 1, 2, 5, 13, 37, 123, 456, 1864, 8239, 39465, 201063, 1096197, 6286033),
	array(1600000000, 1600000000, 1, 2, 5, 12, 36, 120, 443, 1795, 7947, 37684, 191137, 1030988, 5880814),
	array(2147483648, 2147483648, 1, 2, 5, 11, 32, 103, 368, 1444, 6149, 28340, 138849, 722958, 3980535),
	array(2900000000, 2900000000, 1, 2, 4, 10, 28, 89, 309, 1175, 4842, 21459, 102212, 513971, 2730842),
	array(2900000000, 100000000000000, 1, 2, 4, 10, 28, 89, 309, 1175, 4842, 21459, 102212, 513971, 2730842),
	array(2900000000, 105000000000000, 1, 2, 4, 10, 28, 89, 309, 1175, 4842, 21459, 102212, 513971, 2730842),
	array(6000000000, 6000000000, 1, 2, 4, 9, 22, 65, 211, 750, 2879, 11876, 52237, 243609, 1198882),
	array(7600000000, 420000000000000, 1, 2, 4, 8, 20, 58, 185, 639, 2404, 9646, 41497, 188056, 904545),

James Heinrich · 2022-06-07, 01:23

Quote:

Originally Posted by SethTro

It might also be good if you rerun the query from #594 to see if there are any new larger ecm bounds curves.

Quote:

Originally Posted by James Heinrich

Data just from 2020 (I could get from other years if that's needed)

Data from 2021:

Code:

+------------+-----------------+----------------+
| b1         | b2              | sum_num_curves |
+------------+-----------------+----------------+
|      50000 |         5000000 |        1677857 |
|      50000 |         6600000 |         999262 |
|     250000 |        35000000 |         893621 |
|     250000 |        25000000 |         799660 |
|   11000000 |     36578884662 |         655200 |
|    3000000 |       300000000 |         609739 |
|    1000000 |       100000000 |         466338 |
|      10000 |          100000 |         367998 |
|      50000 |         6750000 |         224642 |
|     250000 |        38500000 |         129397 |
|    3000000 |       528000000 |          91525 |
|     250000 |        36750000 |          65752 |
|   11000000 |      1100000000 |          65558 |
|      50000 |         6500000 |          64351 |
|      50000 |           50000 |          53830 |
|      50000 |         6650000 |          22570 |
|      50000 |         6800000 |          21660 |
|   11000000 |      2024000000 |          21314 |
|      50000 |         6700000 |          21285 |
|      50000 |        14400000 |          21110 |
|      50000 |         5150000 |          18641 |
|      50000 |         6350000 |          17408 |
|      50000 |         6450000 |          17234 |
|     250000 |        38000000 |          17103 |
|    3000000 |       321000000 |          15665 |
|  110000000 |    900514153782 |          13149 |
|    1000000 |       168000000 |          12853 |
|  110000000 |  14408226460512 |          11966 |
|      50000 |         6900000 |          11512 |
| 2900000000 | 105101237217912 |          11276 |
|     250000 |        38750000 |          10088 |
|        120 |           12000 |          10000 |
|      50000 |         5200000 |           9933 |
|      50000 |         4800000 |           9069 |
|     250000 |        37750000 |           8817 |
|    3000000 |       339000000 |           8250 |
|  190000000 |   1676277295782 |           8000 |
|      50000 |         6300000 |           6636 |
|    3000000 |       378000000 |           6550 |
|      50000 |         4700000 |           6167 |
|     250000 |        36250000 |           5723 |
|   48000000 |    279380917212 |           5000 |
|  260000000 |    251637345976 |           4800 |
|      50000 |         6550000 |           4095 |
|      50000 |         6200000 |           4095 |
|      50000 |         5000001 |           3839 |
|      80000 |        11280000 |           3714 |
|     250000 |        37250000 |           3601 |
|   11000000 |     30114149530 |           3584 |
|      50000 |         5450000 |           3577 |
|    3000000 |       492000000 |           3300 |
|      50000 |         8000000 |           3283 |
|      50000 |         7150000 |           3136 |
|    1000000 |       149000000 |           3013 |
|   11000000 |       869000000 |           3000 |
|      50000 |         5300000 |           2948 |
|    1000000 |         1000000 |           2900 |
|     580469 |        92875040 |           2772 |
|     250000 |        38250000 |           2770 |
|    1000000 |       135000000 |           2470 |
|     586328 |        94398808 |           2416 |
|      50000 |         4900000 |           2373 |
|      50000 |         5400000 |           2359 |
|     250000 |        36000000 |           2293 |
|   44000000 |    251421670516 |           2240 |
|     582813 |        93250080 |           2142 |
|    1000000 |       137000000 |           2135 |
|   11000000 |      1500000000 |           2000 |
|      50000 |         6150000 |           1961 |
|   44000000 |      4400000000 |           1953 |
|      50000 |         5750000 |           1918 |
|      50000 |         6400000 |           1843 |
|      50000 |         4650000 |           1806 |
|      50000 |         7000000 |           1756 |
|  110000000 |     11000000000 |           1607 |
|    3000000 |       400000000 |           1500 |
|   11000000 |      1276000000 |           1500 |
|      50000 |         5850000 |           1484 |
|  260000000 |     26000000000 |           1467 |
|      50000 |         4500000 |           1407 |
|      50000 |         6735632 |           1400 |
|      50000 |         6050000 |           1268 |
|     575781 |        91549179 |           1256 |
|      50000 |         4350000 |           1197 |
|  800000000 |     80000000000 |           1183 |
|     250000 |        38392042 |           1162 |
|  110000000 |     16830000000 |           1150 |
|     250000 |        28000000 |           1106 |
|     250000 |        33916012 |           1050 |
|     587500 |        94587500 |           1050 |
|    1000000 |       141609482 |           1029 |
|     250000 |        35750000 |           1011 |
|       5000 |         5000000 |           1002 |
|   72368421 |     14256578937 |           1000 |
|    3000000 |       491465552 |           1000 |
|   70000000 |     13790000000 |           1000 |
|      50000 |        11000000 |           1000 |
|    3000000 |       439215871 |           1000 |
|    3000000 |       394461752 |           1000 |
|    3000000 |       310826868 |           1000 |
+------------+-----------------+----------------+

Data from 2022 (Jan01-Jun05):

Code:

+------------+----------------+----------------+
| b1         | b2             | sum_num_curves |
+------------+----------------+----------------+
|    3000000 |      300000000 |         384407 |
|      50000 |        7500000 |         332667 |
|      50000 |        5000000 |         323857 |
|      50000 |        6600000 |         253778 |
|     250000 |       35000000 |         219877 |
|     250000 |       40000000 |         189183 |
|     250000 |       36750000 |         116968 |
|     250000 |       25000000 |          84889 |
|    3000000 |      321000000 |          74434 |
|      50000 |        8000000 |          42133 |
|     250000 |      125000000 |          35500 |
|      50000 |        7000000 |          35071 |
|      50000 |        6750000 |          29368 |
|   11000000 |     1100000000 |          26948 |
|      50000 |        6900000 |          23211 |
|      50000 |       10000000 |          20001 |
|      50000 |          50000 |          19855 |
|     250000 |       38500000 |          18942 |
|    1000000 |      100000000 |          16777 |
|    3000000 |      528000000 |          10830 |
| 1000000000 | 19071176724616 |           8961 |
|      50000 |       14400000 |           8750 |
|     250000 |       36250000 |           8309 |
|      50000 |        7150000 |           8083 |
|     250000 |       45000000 |           7400 |
|     250000 |       36000000 |           6853 |
|     250000 |       35500000 |           5243 |
|    1000000 |    10000000000 |           5000 |
|     250000 |       33000000 |           4872 |
|      50000 |        6700000 |           4685 |
|    3000000 |              0 |           4000 |
|     250000 |       34750000 |           3713 |
|     250000 |       31250000 |           3604 |
|    1000000 |      147000000 |           3542 |
|     250000 |       34250000 |           3488 |
|      50000 |        5150000 |           3463 |
|   11000000 |     2024000000 |           2890 |
|     250000 |       37750000 |           2769 |
|      50000 |        7050000 |           2642 |
|     250000 |       35250000 |           2524 |
|     250000 |       44000000 |           2499 |
|     250000 |       37250000 |           2268 |
|      50000 |        5300000 |           2170 |
|    1000000 |      146000000 |           2138 |
|      50000 |        5600000 |           2080 |
|     250000 |       27500000 |           2051 |
|     250000 |       33750000 |           2031 |
|      50000 |        5450000 |           1960 |
|    3000000 |      339000000 |           1953 |
|  900000000 |              0 |           1500 |
|     250000 |       32250000 |           1491 |
|      50000 |        6450000 |           1471 |
|     250000 |       28000000 |           1470 |
|     250000 |       38000000 |           1363 |
|     250000 |       36500000 |           1305 |
|   11000000 |      500000000 |           1300 |
|    1000000 |      132000000 |           1262 |
|      50000 |        6350000 |           1219 |
|      50000 |        6250000 |           1205 |
|      50000 |        6500000 |           1179 |
|    3000000 |      419049774 |           1140 |
|      50000 |        6650000 |           1133 |
|      50000 |        6800000 |           1101 |
|    1000000 |      149000000 |           1072 |
|      50000 |        6400000 |           1064 |
|   11000000 |     1639000000 |           1050 |
|     250000 |       29000000 |           1043 |
|      50000 |        3100000 |           1029 |
|    3000000 |      456000000 |           1000 |
|    3000000 |      387458198 |           1000 |
|    3000000 |      477000000 |           1000 |
|   20000000 |      500000000 |           1000 |
|      50000 |        6850000 |            888 |
|   44000000 |     4400000000 |            880 |
|     250000 |       28500000 |            876 |
|   11000000 |     1672000000 |            800 |
|    3000000 |      402000000 |            780 |
|    1000000 |      138000000 |            717 |
|    3000000 |      299857755 |            700 |
|    1000000 |      142484923 |            700 |
|    1000000 |      162000000 |            680 |
|      50000 |        3650000 |            679 |
|      50000 |        4200000 |            651 |
|   11000000 |       11000000 |            630 |
|     250000 |       33500000 |            598 |
|  110000000 |      110000000 |            585 |
|      50000 |        5900000 |            581 |
|    3000000 |        3000000 |            550 |
|    1000000 |      148994457 |            543 |
|    1000000 |      148992598 |            543 |
|    1000000 |      147657039 |            543 |
|      50000 |        7113794 |            539 |
|    1000000 |      148998136 |            538 |
|    1000000 |      148396786 |            536 |
|    1000000 |      148542997 |            536 |
|    1000000 |      147716734 |            536 |
|    1000000 |      148976761 |            536 |
|    1000000 |      148998135 |            536 |
|  110000000 | 10000000000000 |            536 |
|    1000000 |      148352361 |            536 |
+------------+----------------+----------------+

chalsall · 2022-06-07, 01:43

Super-cool James et al. Empirically, you're "on this". As in, you already have the dataset(s).

So the question then becomes...

Could you please put this in a public-facing report that "only human" can understand?

With pretty graphs too? On a dashboard?

If that is not too much of an ask... 9-)

James Heinrich · 2022-06-07, 02:08

Quote:

Originally Posted by SethTro

Because of a couple of discussion of M1277 kriesel asked if I could update the data I provided you in #660. Let me know if there's a more convenient format

That's good (other than my obsessive need to column-align all the data), but to make it work on the site I need to extend the old-method list of expected bounds and curves up to 80, can you help me with that please?

Code:

function ECMeffortExpected() {
	return array(
		20 => array(    11000,    100),
		25 => array(    50000,    280),
		30 => array(   250000,    640),
		35 => array(  1000000,   1580),
		40 => array(  3000000,   4700),
		45 => array( 11000000,   9700),
		50 => array( 44000000,  17100),
		55 => array(110000000,  46500),
		60 => array(260000000, 112000),
		65 => array(800000000, 360000),
	);
}

I roughed in some placeholder numbers for testing, please correct me as to what they should be:

Code:

		70 => array( 2400000000,  900000),
		75 => array( 7200000000, 2250000),
		80 => array(21600000000, 5625000),

Prime95 · 2022-06-07, 02:25

Quote:

Originally Posted by James Heinrich

That's good (other than my obsessive need to column-align all the data), but to make it work on the site I need to extend the old-method list of expected bounds and curves up to 80, can you help me with that please?

Code:

function ECMeffortExpected() {
	return array(
		20 => array(    11000,    100),
		25 => array(    50000,    280),
		30 => array(   250000,    640),
		35 => array(  1000000,   1580),
		40 => array(  3000000,   4700),
		45 => array( 11000000,   9700),
		50 => array( 44000000,  17100),
		55 => array(110000000,  46500),
		60 => array(260000000, 112000),
		65 => array(800000000, 360000),
	);
}

I roughed in some placeholder numbers for testing, please correct me as to what they should be:

Code:

		70 => array( 2400000000,  900000),
		75 => array( 7200000000, 2250000),
		80 => array(21600000000, 5625000),

Note there are updated curve counts on the GIMPS ECM page as of last week (yes I should have done this years ago). These come from GMP-ECM -- these guys know more about ECM than I ever will.

Code:

Using B1=2400000000, B2=240000000000, polynomial Dickson(12), sigma=0:5846338435282416409
dF=17280, k=72, d=180180, d2=17, i0=13304
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
22      67      226     845     3407    14988   69914   350860  1845420 1e+07

Using B1=7200000000, B2=720000000000, polynomial Dickson(30), sigma=0:17190718471612911695
dF=17280, k=216, d=180180, d2=17, i0=39944
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
16      44      135     455     1660    6464    27094   120646  567615  2809445

Using B1=21600000000, B2=2160000000000, polynomial Dickson(30), sigma=0:14360955280911240780
dF=17280, k=647, d=180180, d2=17, i0=119864
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
12      32      89      272     905     3227    12256   49294   209024  930668

If anyone knows how to get GMP-ECM to show proper curve counts for t25 and t30 please let me know.

James Heinrich · 2022-06-07, 02:40

Quote:

Originally Posted by Prime95

Note there are updated curve counts on the GIMPS ECM page as of last week

I have updated the curve count for 35..65 from your ECM page. I didn't follow from what you posted how to extend my lookup table to 80 digits (both bounds and curve count).

2022-05-26, 00:43	#917
Stargate38 "Daniel Jackson" May 2011 14285714285714285714 708₁₀ Posts	What about p>2^32? Please add support for TF "no factor" results 2^32<p<10^10. There are 251,772,290 prime exponents in that range, and I want to be able to see how much TF has been run on such exponents without known factors. I see no reason why you couldn't add support for that. Without it, there's no way of knowing the progress on such exponents (unless a factor is found). Also, where on the Internet are people supposed to post results (factor or no factor) for exponents >10^10 (beyond Mersenne.ca's range) that aren't Double Mersennes? For example, M(10^10+19) or M(1111111111111111111). There needs to be a centralized place to put those as well - even if it's not on Mersenne.ca - as it would provide people (not just me) with a place to put such factors, given that Factor5 isn't limited to exponents <10^10.

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2022-06-07, 01:43	#921
chalsall If I May "Chris Halsall" Sep 2002 Barbados 2²·5·17·31 Posts	Super-cool James et al. Empirically, you're "on this". As in, you already have the dataset(s). So the question then becomes... Could you please put this in a public-facing report that "only human" can understand? With pretty graphs too? On a dashboard? If that is not too much of an ask... 9-)