The book is now available! 5179
(another Prime Pages' Curiosity)
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A generalized arithmetic progression of primes (a GAP) is a set of integers of the form
a + n1b1 + n2b2 + ... + ndbd
with a, b1, b2, ..., bd fixed; and the n's run through some range. The table below shows the smallest 2-by-k GAP's (those with the least last term) for small k. When k is 9, the largest term is 5179.
k            GAP        Last Term
2          3+8i+2j             13
3          7+24i+6j            43
4          5+36i+6j            59
5         11+96i+30j          227
6         11+42i+60j          353
7        47+132i+210j        1439
8       199+3300i+210j       4969
9       199+3300i+210j       5179
[Granville]

 

  Submitted: 2008-05-18 18:50:41;   Last Modified: 2009-04-03 22:38:26.



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