login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

%I #3 Oct 15 2013 22:32:21

%S 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,

%T 27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,

%U 50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,106

%N 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.

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

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

%K nonn

%O 1,2

%A _Labos Elemer_, Dec 29 2003

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)