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2023-01-04, 15:22   #89
Dr Sardonicus

Feb 2017
Nowhere

2×3×17×61 Posts

Quote:
 Originally Posted by kriesel No, I think he's gone fishing plenty already, or at least cast quite widely
My reference was to a card game.

2023-01-04, 15:48   #90
kriesel

"TF79LL86GIMPS96gpu17"
Mar 2017
US midwest

11100110001102 Posts

Quote:
 Originally Posted by Dr Sardonicus My reference was to a card game.
Of course. And my point was he's already drawn in a sense, an unusually large fraction of the unplayed deck for this game.

2023-01-05, 00:55   #91
VBCurtis

"Curtis"
Feb 2005
Riverside, CA

2×32×313 Posts

Quote:
 Originally Posted by kriesel Of course. And my point was he's already drawn in a sense, an unusually large fraction of the unplayed deck for this game.
You ruin jokes in spectacular ways.

2023-01-05, 03:52   #92
Dobri

"ม้าไฟ"
May 2018

22·5·23 Posts

Quote:
 Originally Posted by kriesel Of the 12 above, 3 now have factors found, 9 have prp/proof & successful cert completed. No fish.
Thank you, Kriesel, for your awesome contribution to the computational work on local wavefronts of prime exponents!

While still considering the applicability of the standard Ulam spiral versus the Ulam spiral of prime numbers,
meanwhile I intend to concentrate on TF and P-1 tests of a few hundred 28-bit prime exponents at the LCS ∩ BSE intersection (listed below).
Code:
134319307, 135113387, 135226027, 137421587, 137443751, 137465033, 137767621, 137767681, 141657757, 141662617, 141677359, 144335641, 144491777, 144542399, 144759757, 148552753, 148561201, 149489201, 149489573, 149523601, 149526683, 149539889, 149542973, 149546641, 149865241, 154544177, 154544837, 158739221, 159414859, 160026343, 160039699, 160053857, 160190183, 160915879, 160916083, 160985497, 160996813, 161057191, 161543399, 161880113, 161899289, 162587441, 162610087, 162611623, 165179869, 167561501, 167571071, 167880563, 168024221, 168215893, 168659627, 174076219, 174113561, 174238769, 174266777, 174371143, 175515661, 176625821, 177736753, 177737551, 177760733, 177761621, 177762769, 177773333, 177782833, 178882097, 178955779, 178955879, 178962481, 179337787, 180587569, 182371613, 184365449, 184367893, 184445213, 185356007, 185436841, 185861789, 185864051, 185947441, 185948209, 185948317, 185958217, 185958413, 185958593, 190142417, 190178867, 190195391, 190195519, 192289891, 192292549, 192292669, 192514471, 192615811, 193341299, 193344257, 193906003, 194706019, 195342533, 196137937, 197335433, 197938883, 198174953, 204522781, 204549197, 204571417, 206385379, 206408387, 206488753, 214034921, 214216901, 214328089, 215193757, 215391871, 220445461, 220564159, 221250329, 221904157, 221975893, 222015809, 222101137, 223104619, 223750193, 226304219, 226308119, 226308419, 226308679, 226523747, 226695577, 227134513, 227135347, 227148199, 227150851, 227151139, 227162723, 227162899, 227191571, 231493351, 231493357, 231654751, 231683267, 232288643, 232288649, 232299913, 236466403, 236609959, 236610329, 236656009, 238752781, 242704433, 242846119, 244349543, 245205563, 245205673, 247479601, 247771333, 247780249, 247786571, 247786573, 247792009, 247793347, 247799077, 247799177, 247812911, 247813463, 247814041, 247814243, 247816147, 247816879, 255099673, 255530377, 256392497, 256436611, 256436617, 256686869, 256796957, 256829119, 256849319, 259401841, 261659843, 261776153, 265048291, 265534229
Of them, I further shortlisted 22 prime exponents (listed below) of Hamming weight = 16, the only Hamming weight ≤ 17 of a prime exponent for which no Mersenne prime has been found (see the attached histogram).
Note: An initial version of the attached histogram can be found at https://mersenneforum.org/showpost.p...1&postcount=43.
Code:
144542399, 160026343, 162610087, 165179869, 167561501, 182371613, 185958217, 190142417, 190178867, 192514471, 220564159, 226304219, 226308679, 231683267, 242846119, 245205563, 247812911, 247813463, 247814041, 247816879, 256686869, 256796957
Attached Thumbnails

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