A137980 Numbers k such that k^0 + (k+1)^1 + (k+2)^2 + (k+3)^3 + (k+4)^4 + (k+5)^5 + (k+6)^6 + (k+7)^7 is a prime.

4, 24, 28, 90, 112, 232, 310, 346, 480, 492, 522, 564, 592, 648, 666, 690, 694, 766, 802, 856, 868, 900, 930, 960, 990, 1030, 1038, 1060, 1102, 1134, 1212, 1218, 1240, 1264, 1308, 1446, 1522, 1570, 1578, 1704, 1822, 1852, 1858, 1866, 1882, 1896, 1906, 1912, 1978, 1990

Offset

1,1

Links

Andrew Howroyd, Table of n, a(n) for n = 1..1000

Mathematica

a={}; Do[If[PrimeQ[n^70+(n+1)^1+(n+2)^2+(n+3)^3+(n+4)^4+(n+5)^5+(n+6)^6+(n+7)^7], AppendTo[a, n]], {n, 10^3}]; a

Prog

(PARI) is(n)={isprime(sum(k=0, 7, (n+k)^k))}
select(is, [1..2000]) \\ Andrew Howroyd, Feb 02 2020

Crossrefs

Cf. A137950, A138023, A138059, A138065, A138089, A138091.

Sequence in context: A303333 A324517 A370493 * A348299 A144137 A238222

Adjacent sequences: A137977 A137978 A137979 * A137981 A137982 A137983

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, May 06 2008

Status

approved