A093932 - OEIS

A093932

For n > 0, a(n+1) is the least prime not already used such that abs(a(n+1)-a(n))/2n is prime.

3, 7, 19, 31, 47, 17, 41, 13, 61, 97, 37, 103, 151, 73, 157, 67, 131, 29, 101, 367, 167, 83, 919, 137, 233, 383, 227, 389, 109, 283, 163, 349, 541, 79, 419, 769, 409, 557, 709, 1567, 1327, 1163, 71, 673, 937, 307, 491, 773, 293, 587, 787, 277, 797, 479, 263, 43, 379, 607, 839, 1193, 353, 719, 347, 599, 983, 593, 197, 13999, 2711, 89, 509, 8887, 3559, 3121, 1493, 443, 139, 601, 1069, 1543, 743, 257, 2389, 563, 59, 569, 53, 401, 929, 2887, 547, 911, 359, 1289, 3733, 503, 887, 499, 107, 701, 1301, 1907, 1499, 881, 1297, 877, 241, 883, 1531, 5

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OFFSET

1,1

COMMENTS

The last term is a(110) = 5. The smallest primes that don't occur are 2, 11, 23 and 113. - David Wasserman, Mar 07 2007

LINKS

Table of n, a(n) for n=1..110.

EXAMPLE

a(5) = 47 hence a(6) = 17, which has not occurred earlier, as (47-17)/(2*5) = 3 is a prime.

CROSSREFS

Cf. A093931.

Sequence in context: A006032 A240072 A066148 * A141173 A145472 A217199