Thread for posting tiny primes - Page 2

3.14159 · 2010-07-25, 02:45

Prime found! The first search is finished:
145048 * 3754⁴⁰⁹⁶ + 1 (14647 digits)

Although, still shit out of luck for the other one. 22 hours, got nothing.
Next search: Generalized Proth: k * 26¹¹³⁰⁰ + 1 (15995-15996 digits). I'll let it sieve for the night.

3.14159 · 2010-07-25, 11:37

Hmm.. The search has surprisingly yielded nothing at all, after 30 hours. Even at worst case odds, 1 in 46k, I was supposed to have a prime 12 hours ago.

3.14159 · 2010-07-25, 13:14

More submissions: 201181 * 26¹¹³⁰⁰ + 1 (15995 digits). That one was relatively quick compared to the other searches. Sieved up to 1 trillion. Hopefully something comes up soon for the other search.
10222 * 6¹⁸⁰⁰ + 1 (1405 digits)
6352 * 6²³⁰⁰ + 1 (1794 digits)
8440 * 6²³⁰⁰ + 1 (1794 digits)
7736 * 6²³⁰² + 1 (1796 digits)
7737 * 6³¹⁰⁰ + 1 (2417 digits)
12148 * 6³¹⁰⁰ + 1 (2417 digits)

A power interruption ruined the main search. I remember the cutoff value for k, however, so it's no great loss. The only downside: I'm going to have to do 2-4 hours of sieving. Again.

3.14159 · 2010-07-25, 15:35

More submissions: 8166 * 14⁴⁵⁰⁰ + 1 (5162 digits)
21615 * 14⁴⁵⁰⁰ + 1 (5162 digits)
11558 * 6²⁶⁰⁰ + 1 (2028 digits)
14446 * 6²⁶⁰⁰ + 1 (2028 digits)
6818 * 6²⁶⁴⁰ + 1 (2059 digits)
7586 * 6²⁷⁶⁰ + 1 (2152 digits)
11422 * 6²⁸⁸⁰ + 1 (2246 digits)
27571 * 6³¹⁰⁰ + 1 (2417 digits)
28548 * 6³¹⁰⁰ + 1 (2417 digits)

3.14159 · 2010-07-25, 18:07

More submissions: (Base: 18, Exponent: 3900): Range tested: 26k to 46k:
26880 * 18³⁹⁰⁰ + 1 (4900 digits)
28796 * 18³⁹⁰⁰ + 1 (4901 digits)
29370 * 18³⁹⁰⁰ + 1 (4901 digits)
32730 * 18³⁹⁰⁰ + 1 (4901 digits)
34168 * 18³⁹⁰⁰ + 1 (4901 digits)
35523 * 18³⁹⁰⁰ + 1 (4901 digits)
37313 * 18³⁹⁰⁰ + 1 (4901 digits)
42612 * 18³⁹⁰⁰ + 1 (4901 digits)

Also: Still sieving for the k * 77906⁸¹⁹² + 1 prime. I'm planning on doing at least 2x the sieving I did last time around.

firejuggler · 2010-07-25, 19:42

540*54^4700+1 ...

CRGreathouse · 2010-07-25, 19:55

Quote:

Originally Posted by 3.14159

3. Is not a "small" prime. (Please ensure it is ≥ 1000 digits.)

See Sloane's A074282.

kar_bon · 2010-07-25, 20:00

Quote:

Originally Posted by 3.14159

Prime posting thread.
(...)

1. Has no factors below 2³⁰

This is more important!

I have to check, if I can find a prime with a factor > 2^30!

Sorry, this had to be written here!

firejuggler · 2010-07-25, 20:08

probable prime maybe

3.14159 · 2010-07-25, 20:10

Quote:

Originally Posted by CRGreathouse

See Sloane's A074282.

... *Picard facepalm* Thank you for the barely qualified primes.

Quote:

Originally Posted by kar_bon

I have to check, if I can find a prime with a factor > 2^30!

.. Dammit, you get the idea. Trial divide to 2³⁰.

CRGreathouse · 2010-07-25, 21:52

Quote:

Originally Posted by 3.14159

... *Picard facepalm* Thank you for the barely qualified primes.

Yes, I saw the qualification and typed

Code:

nextprime(10^999)-10^999

into Pari.

2010-07-25, 02:45	#12
3.14159 May 2010 Prime hunting commission. 3220₈ Posts	Prime found! Prime found! The first search is finished: 145048 * 3754⁴⁰⁹⁶ + 1 (14647 digits) Although, still shit out of luck for the other one. 22 hours, got nothing. Next search: Generalized Proth: k * 26¹¹³⁰⁰ + 1 (15995-15996 digits). I'll let it sieve for the night. Last fiddled with by 3.14159 on 2010-07-25 at 03:40 Reason: Timing incorrect!!!

2010-07-25, 11:37	#13
3.14159 May 2010 Prime hunting commission. 2⁴×3×5×7 Posts	Hmm.. The search has surprisingly yielded nothing at all, after 30 hours. Even at worst case odds, 1 in 46k, I was supposed to have a prime 12 hours ago. Last fiddled with by 3.14159 on 2010-07-25 at 11:47

2010-07-25, 13:14	#14
3.14159 May 2010 Prime hunting commission. 11010010000₂ Posts	More submissions: 201181 * 26¹¹³⁰⁰ + 1 (15995 digits). That one was relatively quick compared to the other searches. Sieved up to 1 trillion. Hopefully something comes up soon for the other search. 10222 * 6¹⁸⁰⁰ + 1 (1405 digits) 6352 * 6²³⁰⁰ + 1 (1794 digits) 8440 * 6²³⁰⁰ + 1 (1794 digits) 7736 * 6²³⁰² + 1 (1796 digits) 7737 * 6³¹⁰⁰ + 1 (2417 digits) 12148 * 6³¹⁰⁰ + 1 (2417 digits) A power interruption ruined the main search. I remember the cutoff value for k, however, so it's no great loss. The only downside: I'm going to have to do 2-4 hours of sieving. Again. Last fiddled with by 3.14159 on 2010-07-25 at 13:59

2010-07-25, 15:35	#15
3.14159 May 2010 Prime hunting commission. 2⁴·3·5·7 Posts	More submissions: 8166 * 14⁴⁵⁰⁰ + 1 (5162 digits) 21615 * 14⁴⁵⁰⁰ + 1 (5162 digits) 11558 * 6²⁶⁰⁰ + 1 (2028 digits) 14446 * 6²⁶⁰⁰ + 1 (2028 digits) 6818 * 6²⁶⁴⁰ + 1 (2059 digits) 7586 * 6²⁷⁶⁰ + 1 (2152 digits) 11422 * 6²⁸⁸⁰ + 1 (2246 digits) 27571 * 6³¹⁰⁰ + 1 (2417 digits) 28548 * 6³¹⁰⁰ + 1 (2417 digits) Last fiddled with by 3.14159 on 2010-07-25 at 16:14

2010-07-25, 18:07	#16
3.14159 May 2010 Prime hunting commission. 11010010000₂ Posts	More submissions: (Base: 18, Exponent: 3900): Range tested: 26k to 46k: 26880 * 18³⁹⁰⁰ + 1 (4900 digits) 28796 * 18³⁹⁰⁰ + 1 (4901 digits) 29370 * 18³⁹⁰⁰ + 1 (4901 digits) 32730 * 18³⁹⁰⁰ + 1 (4901 digits) 34168 * 18³⁹⁰⁰ + 1 (4901 digits) 35523 * 18³⁹⁰⁰ + 1 (4901 digits) 37313 * 18³⁹⁰⁰ + 1 (4901 digits) 42612 * 18³⁹⁰⁰ + 1 (4901 digits) Also: Still sieving for the k * 77906⁸¹⁹² + 1 prime. I'm planning on doing at least 2x the sieving I did last time around. Last fiddled with by 3.14159 on 2010-07-25 at 18:32

2010-07-25, 19:42	#17
firejuggler Apr 2010 Over the rainbow 2³·5²·13 Posts	540*54^4700+1 ...

2010-07-25, 20:08	#20
firejuggler Apr 2010 Over the rainbow 2³·5²·13 Posts	probable prime maybe

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