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Old 2020-06-21, 19:22   #1
Runtime Error
 
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Default Testing numbers that end in a straight sequence.

Quote:
Originally Posted by kriesel View Post
No problem and thanks for helping. The numbers listed in post 20 are stated in post 28 as coming from the sort of source or process that sounds more like conspiracy theory than number theory. So I see no reason to give them any priority now. It did no harm to trial factor them somewhat, a little early. I feel it's more productive to return to our usual mostly systematic searching in exponent order, than to give these few any extra attention. That's all.
Conspiracy theory or not, I'm testing 160456789 because I like that it ends in 4,5,6,7,8,9. But 369452123 is definitely not on my list.
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Old 2020-06-23, 21:39   #2
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Quote:
Originally Posted by Runtime Error View Post
I'm testing 160456789 because I like that it ends in 4,5,6,7,8,9.
Have fun.

Just between the current first test milestone 90M and 200M there are two 7-digit straights * and 11 more 6-digit straights in prime exponents' decimal forms. Five of which are both insufficiently factored now and have no factors found yet or primality tests completed.
92456789 (factored)
103456789* (factored, and half the digits of its factor are the digit 6)
106456789 (factored)
113456789* NF 73, assigned
116456789 (factored)
119456789 NF 72
130456789 NF 72
137456789 (factored)
154456789 (factored)
167456789 NF 75
170456789 NF 73
179456789 (factored)
182456789 (factored)
There are probably more 6 and 7-digit straight prime exponents in 200M to 1000M.

There are also two 8-digit straights in decimal prime exponents p, 2<p<109.
23456789 (factored)
623456789 NF 71 (assigned)

Descending straights are also present
98765431 prime exponent shown LLDC composite
198765439 NF 74
198765433 factored
876543211 NF 80
987654323 NF 76
765432131 factored
765432163 NF 71
765432169 factored
765432179 NF 71
765432197 factored
etc.

There is no prime 9-digit decimal straight exponent, since consecutive decimal digits in groups of 3n are 0 mod 3.

Last fiddled with by kriesel on 2020-06-23 at 21:48
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Old 2020-06-27, 02:16   #3
Runtime Error
 
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Quote:
Originally Posted by kriesel View Post
Have fun.

Just between the current first test milestone 90M and 200M there are two 7-digit straights * and 11 more 6-digit straights in prime exponents' decimal forms. Five of which are both insufficiently factored now and have no factors found yet or primality tests completed.
92456789 (factored)
103456789* (factored, and half the digits of its factor are the digit 6)
106456789 (factored)
113456789* NF 73, assigned
116456789 (factored)
119456789 NF 72
130456789 NF 72
137456789 (factored)
154456789 (factored)
167456789 NF 75
170456789 NF 73
179456789 (factored)
182456789 (factored)
There are probably more 6 and 7-digit straight prime exponents in 200M to 1000M.

There are also two 8-digit straights in decimal prime exponents p, 2<p<109.
23456789 (factored)
623456789 NF 71 (assigned)

Descending straights are also present
98765431 prime exponent shown LLDC composite
198765439 NF 74
198765433 factored
876543211 NF 80
987654323 NF 76
765432131 factored
765432163 NF 71
765432169 factored
765432179 NF 71
765432197 factored
etc.

There is no prime 9-digit decimal straight exponent, since consecutive decimal digits in groups of 3n are 0 mod 3.
Neat! Thanks for posting this fun list. I just reserved the two smallest unfactored, 113456789 and 119456789. I saw that you recently did some factoring work on the former. If you are still working on it, it's yours (just please let me know to stop).
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Old 2020-06-27, 12:53   #4
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Quote:
Originally Posted by Runtime Error View Post
Neat! Thanks for posting this fun list. I just reserved the two smallest unfactored, 113456789 and 119456789. I saw that you recently did some factoring work on the former. If you are still working on it, it's yours (just please let me know to stop).
You have the PRP assignments. I've taken the liberty of launching P-1 on both those. If you are already running or have run P-1 to adequate bounds, let me know, and I'll halt the runs. What I've queued on an RX480 are
B1=1170000,B2=33930000;PFactor=0,1,2,113456789,-1,76,2 (running now)
B1=1250000,B2=36250000;PFactor=0,1,2,119456789,-1,76,2
If I hit a factor I'll let you know.

Otherwise, carry on.
BTW https://www.mersenne.org/report_expo...9456789&full=1 needs more TF also, now at 72 bits, 76 recommended.

The availability of straights is increased if also considering shuffled straights, not only ordered straights as in my earlier message.
102354367 factored (shuffled 8-straight)
102354563 nf 74 (shuffled 7-straight)
102354667 nf 74 (shuffled 8-straight)
102354697 nf 74 (shuffled 8-straight)
102356041 nf 74 (shuffled 7-straight)
102356237 factored (shuffled 8-straight)
etc
I think 9-straights are still absent, because shuffling the digits adds or subtracts multiples of 9,
and 012 345 678 is a multiple of 3, as is 123 456 789.

Last fiddled with by kriesel on 2020-06-27 at 13:37
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Old 2020-06-27, 17:00   #5
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Quote:
Originally Posted by kriesel View Post
You have the PRP assignments. I've taken the liberty of launching P-1 on both those.

BTW 119456789 needs more TF also, now at 72 bits, 76 recommended.
Thanks for the heads up. I queued both for TF to 78, and I have not started P-1 or PRP yet. I'll wait until I see your P-1 results pop up before I start PRPing. Happy hunting!
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Old 2020-06-27, 18:03   #6
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Quote:
Originally Posted by Runtime Error View Post
Thanks for the heads up. I queued both for TF to 78, and I have not started P-1 or PRP yet. I'll wait until I see your P-1 results pop up before I start PRPing. Happy hunting!
78 seems a bit high to me particularly since I'm going to PrimeNet P-1 bounds, but your kit, your call.
P-1 on 113M is done and reported, 119M will take ~4 hours yet.
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Old 2020-06-27, 22:59   #7
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M119456789 P-1 done and reported. NF for this one either.
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Old 2020-06-28, 18:15   #8
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Quote:
Originally Posted by kriesel View Post
M119456789 P-1 done and reported. NF for this one either.
Thanks, I took both to 78 but to no avail. I understand your point with full primenet bounds; next time. PRPing now.

Since this is now its own thread, perhaps a mod might consider adding a disclaimer to the first post saying that testing Mersenne exponents containing sequences is purely recreational? Just in case someone new stumbles across this and thinks there is a hidden pattern or secret formula or something. (There have been a lot of those posts.) I also enjoy testing exponents containing birthdays, anniversaries, and other things that are fun to me, but that are unlikely predictors of primality.
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Old 2020-06-28, 23:42   #9
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I'll try "one shot" in this funny thread.

I took 111213143

TF to 79 (>P-1, >>PRP)
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Old 2020-06-29, 01:12   #10
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To further widen this thread's scope, consider any exponent that would resemble a good poker hand. Call it poker primes.
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Old 2020-06-29, 06:51   #11
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Quote:
Originally Posted by Runtime Error View Post
Since this is now its own thread, perhaps a mod might consider adding a disclaimer to the first post saying that testing Mersenne exponents containing sequences is purely recreational? Just in case someone new stumbles across this and thinks there is a hidden pattern or secret formula or something. (There have been a lot of those posts.) I also enjoy testing exponents containing birthdays, anniversaries, and other things that are fun to me, but that are unlikely predictors of primality.
Haha, if someone wants to believe in hidden patterns and secret formulas then let them have at it. Sometimes the cranks are the most entertaining posters.

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