Something's fishy

MooMoo2 · 2011-01-25, 19:32

TPS is now on n=483585, and no prime has been found since n=482995. Is this normal, or should some of the n=482995-483585 range be doublechecked?

mdettweiler · 2011-01-25, 20:10

It's definitely unexpected, but still possible. There's about 19,000 candidates in that range, which at sieve depth p=3P has an expected 3.6 primes (odds of one or more prime 97.2%). That leaves a 3% chance of not finding any primes in that range, which is rare but does happen on occasion.

davar55 · 2011-01-25, 21:17

I suspect that a Covering Set of Titanic Numbers might
move this problem into the past.

Oddball · 2011-01-26, 20:20

We've finally ended the prime-free gap. 98883*2^483634-1 is prime (but not twin).

2011-01-25, 19:32	#1
MooMoo2 "Michael Kwok" Mar 2006 2235₈ Posts	Something's fishy TPS is now on n=483585, and no prime has been found since n=482995. Is this normal, or should some of the n=482995-483585 range be doublechecked?

2011-01-25, 20:10	#2
mdettweiler A Sunny Moo Aug 2007 USA 2×47×67 Posts	It's definitely unexpected, but still possible. There's about 19,000 candidates in that range, which at sieve depth p=3P has an expected 3.6 primes (odds of one or more prime 97.2%). That leaves a 3% chance of not finding any primes in that range, which is rare but does happen on occasion.

2011-01-25, 21:17	#3
davar55 May 2004 New York City 10213₈ Posts	I suspect that a Covering Set of Titanic Numbers might move this problem into the past.

2011-01-26, 20:20	#4
Oddball May 2010 499 Posts	We've finally ended the prime-free gap. 98883*2^483634-1 is prime (but not twin).