A189055 Primes of the form (k+1)^11 - k^11.

313968931, 6612607849, 68618940391, 2257404775627, 26360313735014491, 130898631716248441, 11736367906285382977, 28945284114821573731, 229761141540921525811, 202978059247932180748537, 228398127589553102936371, 476213535986962784582617, 1627839264198988265272849, 3421374091098795513254497

Offset: 1

Author

David Cushing, Dec 19 2012

Keywords

• nonn
• easy

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

Programs

Python

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())