A250843 Primes of the form 6^x + y^6 with x, y > 0.

7, 37, 1297, 15661, 16921, 304606801, 594823357, 1838266921, 1898731801, 4751783857, 13841287237, 13841567137, 13901753377, 26901981217, 42180533677, 42182213257, 51520374397, 51522053977, 75418891921, 92205451297, 106044804721

Offset

1,1

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Example

37 is in this sequence because 37 is prime and 6^2+1^6 = 37.
16921 is in this sequence because 16921 is prime and 6^4+5^6 = 16921.

Maple

N:= 10^12: # for all terms <= N
S:= {}:
for y from 1 while y^6 < N do
  for x from 1 do
    v:= 6^x + y^6;
    if v > N then break fi;
    if isprime(v) then
      S:= S union {v};
    fi
od od:
sort(convert(S, list)); # Robert Israel, Nov 11 2019

Crossrefs

Cf. A250547.

Cf. similar sequences listed in A250481.

Sequence in context: A155010 A292807 A210620 * A078303 A127729 A129736

Adjacent sequences: A250840 A250841 A250842 * A250844 A250845 A250846

Keyword

nonn

Author

Vincenzo Librandi, Dec 01 2014

Extensions

Missing terms inserted by Robert Israel, Nov 11 2019

Status

approved