A090108 Values of n such that P[n]=n^2-79n+1601 is prime and also {P[n+1],...,P[n+9-1]} are prime numbers. Namely: a(n)= the first argument providing 9 "polynomially consecutive" primes with respect of polynomial=x^2-79x+1601 described by Escott in 1899.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 106

Offset

1,2

Links

Table of n, a(n) for n=1..72.

Example

n=263 provides chain of 9 "polynomially consecutive" primes as follows:{49993, 50441, 50891, 51343, 51797, 52253, 52711, 53171, 53633}

Crossrefs

Cf. A055561, A090562, A090563, A090101, A090102, A090107.

Sequence in context: A118759 A258069 A361374 * A323048 A090109 A153671

Adjacent sequences: A090105 A090106 A090107 * A090109 A090110 A090111

Keyword

nonn

Author

Labos Elemer, Dec 29 2003

Status

approved