

A125164


Positive integers n such that no prime exists of the form (k! + 3n  1), (k! + 3n) or (k! + 3n + 1) for any k.


5



11, 21, 25, 31, 39, 41, 47, 51, 53, 61, 67, 69, 71, 73, 81, 91, 95, 99, 101, 107, 109, 111, 113, 121, 123, 125, 131, 135, 137, 141, 145, 151, 157, 161, 165, 171, 175, 177, 179, 181, 183, 191, 193, 201, 203, 207, 209, 211, 221, 223, 229, 231, 235, 237, 241, 243, 245, 249, 251, 255, 259
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OFFSET

1,1


COMMENTS

3*a(n) is an index of the middle term in a triple of consecutive zeros in A125162. The indices of zeros in A125162 are listed in A125163.
Primes in this sequence form A115058.


LINKS

Table of n, a(n) for n=1..61.


EXAMPLE

Triplets of consecutive terms in A125163: {32,33,34}, {62,63,64}, {74,75,76}, {92,93,94), {116,117,118}, {122,123,124}, {140,141,142}, {152,153,154}, {158,159,160}, {182,183,184}, {200,201,202}, {206,207,208}, {212,213,214}, {218,219,220}, {242,243,244}, {272,273,274}, {284,285,286}.


CROSSREFS

Cf. A125162, A125163, A115058.
Sequence in context: A189226 A261409 A195100 * A101223 A109686 A077522
Adjacent sequences: A125161 A125162 A125163 * A125165 A125166 A125167


KEYWORD

nonn


AUTHOR

Alexander Adamchuk, Nov 22 2006


EXTENSIONS

Edited and extended by Max Alekseyev, Feb 06 2010


STATUS

approved



