Megagap found

Orgasmic Troll · 2004-01-16, 02:00

"Hans Rosenthal and I have found a prime gap of 1001548 between two
probabilistic primes (prp's) with 43429 digits. Sieving for small
factors used the GMP multiple precision library, and prp testing of
the remaining numbers was performed by the program PrimeForm/GW.

The logarithm of the primes is 99997 so the gap is 10.02 times the
"typical" gap by the prime number theorem. I think that regardless of
relative size, this is the first known prime "megagap" with identified
(probabilistic) primes as gap ends.

The primes have no simple expression.

See more details at http://hjem.get2net.dk/jka/math/primegaps/megagap.htm

--
Jens Kruse Andersen"

2004-01-16, 02:00	#1
Orgasmic Troll Cranksta Rap Ayatollah Jul 2003 641 Posts	Megagap found "Hans Rosenthal and I have found a prime gap of 1001548 between two probabilistic primes (prp's) with 43429 digits. Sieving for small factors used the GMP multiple precision library, and prp testing of the remaining numbers was performed by the program PrimeForm/GW. The logarithm of the primes is 99997 so the gap is 10.02 times the "typical" gap by the prime number theorem. I think that regardless of relative size, this is the first known prime "megagap" with identified (probabilistic) primes as gap ends. The primes have no simple expression. See more details at http://hjem.get2net.dk/jka/math/primegaps/megagap.htm -- Jens Kruse Andersen"

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