Primes in π - Page 18

davar55 · 2017-03-22, 03:32

Actually I consider the work put into this sequence and the discovery
of the a(20) prime very valuable. Perhaps my expectations for an
"important result" were already sufficiently satisfied.
It certainly is a very interesting anomalously large prime.

J F · 2017-03-25, 09:44

Quote:

Originally Posted by davar55

It certainly is a very interesting anomalously large prime.

What is 'anomalously large'? You can approximate the probability
that the sequence from a starting value will yield no prime up
to some digit count. The chance to 'survive' to 300K digits is
order of magnitude 0.5%. I got 11 >300K with the smallish sample
size of 1666, so far that seems sane enough to me.

davar55 · 2017-05-19, 13:34

Is a(20) longer than 613373?

Batalov · 2017-05-20, 06:27

Quote:

Originally Posted by davar55

Is a(20) longer than 613373?

613373 has only six digits.
a(20) is definitely longer!

davar55 · 2017-05-23, 13:23

Quote:

Originally Posted by Batalov

613373 has only six digits.
a(20) is definitely longer!

In character length, "a(20)" has only five characters.

But clarifying my question, has a(20) more than 613373 decimal digits?

davar55 · 2017-06-26, 15:05

Actually, is a(20) well defined until or unless a prime is found at that location?
So the previous post was just a request for a progress report.

J F · 2017-06-26, 22:12

Progress report: #20 somewhere around 750K digits, no PRP yet

davar55 · 2017-06-27, 13:25

Thanks. Great work. This result is surprisingly tantalizing.

ATH · 2017-06-27, 15:48

I stopped at 750k digits searching for "standard" pi primes starting at 3.1415. No new primes before or after the 613373 digit one.

rogue · 2017-06-27, 16:25

Quote:

Originally Posted by ATH

I stopped at 750k digits searching for "standard" pi primes starting at 3.1415. No new primes before or after the 613373 digit one.

Did you sieve beyond 750k? If so, you should consider posting the remaining terms.

ATH · 2017-06-27, 16:33

Yes, I sieved up to 1 million digits, and I have actually still been sieving sometimes on computers at work. I'm on vacation now, I will try to sort out how far I got and post in 1-2 weeks.

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2017-03-22, 03:32	#188
davar55 May 2004 New York City 2³×23² Posts	Actually I consider the work put into this sequence and the discovery of the a(20) prime very valuable. Perhaps my expectations for an "important result" were already sufficiently satisfied. It certainly is a very interesting anomalously large prime.

2017-05-19, 13:34	#190
davar55 May 2004 New York City 2³·23² Posts	Is a(20) longer than 613373?

2017-06-26, 15:05	#193
davar55 May 2004 New York City 4232₁₀ Posts	Actually, is a(20) well defined until or unless a prime is found at that location? So the previous post was just a request for a progress report.

2017-06-26, 22:12	#194
J F Sep 2013 2³×7 Posts	Progress report: #20 somewhere around 750K digits, no PRP yet

2017-06-27, 13:25	#195
davar55 May 2004 New York City 2³·23² Posts	Thanks. Great work. This result is surprisingly tantalizing.

2017-06-27, 15:48	#196
ATH Einyen Dec 2003 Denmark 3·17·59 Posts	I stopped at 750k digits searching for "standard" pi primes starting at 3.1415. No new primes before or after the 613373 digit one.

2017-06-27, 16:33	#198
ATH Einyen Dec 2003 Denmark BC1₁₆ Posts	Yes, I sieved up to 1 million digits, and I have actually still been sieving sometimes on computers at work. I'm on vacation now, I will try to sort out how far I got and post in 1-2 weeks.