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A231576
Sequence of pairs k,g such that k is the smallest odd number and k*2^n-1-g, k*2^n-1, k*2^n-1+g are three consecutive primes in arithmetic progression.
3
3, 2, 53, 12, 33, 6, 69, 6, 19, 6, 2193, 12, 93, 6, 113, 6, 87, 6, 413, 12, 1165, 12, 143, 6, 237, 6, 47, 6, 315, 18, 779, 6, 631, 30, 797, 6, 735, 12, 567, 18, 397, 6, 351, 24, 195, 18, 39, 36, 2719, 6, 971, 6, 1369, 30, 635, 18, 1501, 12, 593, 72, 2053, 6
OFFSET
1,1
LINKS
Pierre CAMI, PFGW Script
EXAMPLE
3*2^1-1-2=3, 3*2^1-1=5, 3*2^1-1+2=7, so first pair = 3,2 (the only one with g=2).
53*2^2-1-12=199, 53*2^2-1=211, 53*2^2-1+12=223, so second pair = 53,12.
CROSSREFS
KEYWORD
nonn
AUTHOR
Pierre CAMI, Nov 11 2013
STATUS
approved