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A250843
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Primes of the form 6^x + y^6 with x, y > 0.
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2
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7, 37, 1297, 15661, 16921, 304606801, 594823357, 1838266921, 1898731801, 4751783857, 13841287237, 13841567137, 13901753377, 26901981217, 42180533677, 42182213257, 51520374397, 51522053977, 75418891921, 92205451297, 106044804721
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OFFSET
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1,1
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LINKS
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EXAMPLE
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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.
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MAPLE
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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:
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CROSSREFS
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Cf. similar sequences listed in A250481.
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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