A113824 a(1)=1; a(n+1) = the least prime greater than 2*a(n) which is a(n) plus a power of two.

1, 3, 7, 23, 151, 65687, 9007199254806679, 73795983494093013143, 205688069665150755269371147819668813122842057000180977011589271

Offset

1,2

Comments

Next term 205688069665150755269371147819668813122842057000180977011589271 + 2^1752 is too large to include here.

Those powers of two are A073924.

Links

Table of n, a(n) for n=1..9.

Example

151 is there because 23 + 2^7 = 151 is prime.

Crossrefs

Cf. A073924, A080355, A080567, A099969, A099970, A099971, A099972.

Sequence in context: A145938 A329875 A048721 * A121883 A262264 A060235

Adjacent sequences: A113821 A113822 A113823 * A113825 A113826 A113827

Keyword

nonn

Author

Artur Jasinski, Jan 23 2006

Extensions

Edited by Don Reble, Jan 25 2006

Status

approved