

A197227


Primes that are not the sum of at least two consecutive primes.


1



2, 3, 7, 11, 13, 19, 29, 37, 43, 47, 61, 73, 79, 89, 103, 107, 113, 137, 149, 151, 157, 163, 167, 179, 191, 193, 227, 229, 239, 241, 257, 277, 283, 293, 307, 313, 317, 337, 347, 359, 367, 383, 389, 397, 409, 419, 433, 461, 467, 509, 521, 541, 547, 557, 569
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OFFSET

1,1


COMMENTS

Complement of A067377 in the primes. For the primes less than 10^6, these primes make up about 56%.


LINKS

Table of n, a(n) for n=1..55.


MATHEMATICA

lim = 1000; pFound = {}; ps = Prime[Range[PrimePi[lim]]]; sm = ps; i = 0; While[i++; j = 1; While[sm[[j]] = sm[[j]] + ps[[i + j]]; sm[[j]] <= lim, If[PrimeQ[sm[[j]]], AppendTo[pFound, sm[[j]]]]; j++]; j > 1]; Complement[ps, pFound]


CROSSREFS

Cf. A050940, A067377.
Sequence in context: A040116 A155153 A014580 * A091206 A038963 A167609
Adjacent sequences: A197224 A197225 A197226 * A197228 A197229 A197230


KEYWORD

nonn


AUTHOR

T. D. Noe, Nov 03 2011


EXTENSIONS

Definition clarified by Jonathan Sondow, May 18 2013


STATUS

approved



