A161367 Primes such that prime(k)-prime(k-1)+1 is not prime.

97, 127, 307, 331, 367, 397, 409, 457, 487, 499, 691, 709, 727, 751, 769, 787, 853, 877, 907, 919, 937, 967, 991, 1117, 1171, 1201, 1361, 1381, 1423, 1447, 1531, 1567, 1579, 1597, 1657, 1693, 1741, 1831, 1861, 1987, 2011, 2053, 2161, 2203, 2221, 2251, 2281, 2371, 2437, 2467

Offset: 1

Author

Leonardo Sznajder, Jun 08 2009

Keywords

• nonn

Examples

			a(1)=97 because it is the first prime, prime(k), such that prime(k)-prime(k-1)+1 is not prime: 97-89+1=15, and 15 is not prime.
		

Crossrefs

Cf. A000040 (the prime numbers), A001223 (difference between primes).

Programs

PARI

isok(p) = isprime(p) && !isprime(p-precprime(p-1)+1); \\ Michel Marcus, May 12 2024

Extensions

More terms from Michel Marcus, May 12 2024