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![[parent]](http://images.planetmath.org:8080/images/uparrow.png) Viewing Message
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| ``Re: Arithmetic Progressions of Prime Numbers''
by Kevin OBryant on 2003-07-03 06:19:09 |
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| Markus Frind posted this to the number theory list server back in April:
``Over 10 years ago the only known progression
of 22 primes was found by
Andrew Moran and Paul Pritchard.
AP22 k=0..21
11410337850553 + k*4609098694200 (March 1993)
Today i found a bigger second such instance.
AP22 k=0..21
376859931192959 + k*18549279769020 (April 19th 2003)
The search was conducted over 10 days on a AMD 1800XP
and checked ~20,667,931,547 Potential AP 22's per Second.''
It is known that there are infinitely prime APs of
length 3, but the issue for APs of length 4 remains
open.
Kevin
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