login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A189055 Primes of the form (n+1)^11 - n^11. 6
313968931, 6612607849, 68618940391, 2257404775627, 26360313735014491, 130898631716248441, 11736367906285382977, 28945284114821573731, 229761141540921525811, 202978059247932180748537, 228398127589553102936371, 476213535986962784582617, 1627839264198988265272849, 3421374091098795513254497 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

All prime numbers which are the difference of integers raised to the 11th power have this form. Values of n in A211184.

LINKS

Vladimir Pletser, Table of n, a(n) for n = 1..1000

PROG

from itertools import count primes = Primes() def diff_pow(i, n): ....return (i+1)**n - i**n . def diff_pow_primes(n, limit=range(1000)): ....pows = [diff_pow(i, n) for i in limit] ....return [p for p in pows if p in primes] . diff_pow_primes(11, count())

(PARI) for(n=1, 10^3, p=(n+1)^11-n^11; if(isprime(p), print1(p, ", ")));

CROSSREFS

Sequence in context: A184671 A034610 A015410 * A221985 A219784 A105005

Adjacent sequences:  A189052 A189053 A189054 * A189056 A189057 A189058

KEYWORD

nonn,easy

AUTHOR

David Cushing, Dec 19 2012

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 1 08:23 EST 2021. Contains 341732 sequences. (Running on oeis4.)