A172096 Primes having no representation of the form prime(n)-+n.

13, 17, 23, 31, 41, 47, 53, 59, 61, 67, 71, 73, 89, 97, 103, 107, 109, 131, 137, 151, 157, 167, 181, 191, 193, 199, 211, 227, 229, 233, 239, 241, 257, 263, 277, 281, 283, 293, 311, 313, 317, 331, 337, 347, 353, 359, 367, 379, 389

Offset

1,1

Links

Table of n, a(n) for n=1..49.

Example

13 is a term because it's prime and prime(n)+n < 13 for n <= 4 and > 13 for n > 4, and prime(n)-n < 13 for n <= 8 and > 13 for n > 8.

Mathematica

nn=100; p=Select[Union[Flatten[Table[Prime[n]+{-n, n}, {n, nn}]]], PrimeQ]; Complement[Prime[Range[PrimePi[p[[-1]]]]], p]

Crossrefs

Cf. A064270.

Sequence in context: A207991 A120157 A143822 * A022893 A211490 A038680

Adjacent sequences: A172093 A172094 A172095 * A172097 A172098 A172099

Keyword

nonn

Author

Juri-Stepan Gerasimov, Nov 21 2010

Extensions

Corrected by T. D. Noe, Nov 21 2010

Status

approved