A245363 Numbers n for which A242719(n) = prime(n)*(prime(n)+6) + 1.

19, 37, 49, 69, 73, 102, 165, 236, 253, 365, 465, 542, 595, 694, 713, 723, 762, 920, 962, 979, 1119, 1162, 1259, 1334, 1387, 1441, 1706, 1797, 1843, 1906

Offset: 1

Author

Vladimir Shevelev, Sep 09 2014

Keywords

• nonn

Comments

These are such numbers n for which prime(n), prime(n)+6, prime(n)*(prime(n)+6)-2 are primes, but prime(n) is not in A062326; besides, if prime(n) is in A001359, then also prime(n+1) is not in A062326.

Prime(n)*(prime(n)+6) + 1 is the third minimal possible value of A242719(n) after prime(n)^2 + 1 and (prime(n)+2)^2 + 1 (cf. A247011 and comment there).

Crossrefs

Cf. A242719, A246748, A247011.

Formula

prime(n) == 7 (mod 10), A242719(n) == 92 (mod 100).

Extensions

More terms from Peter J. C. Moses, Sep 09 2014