A075228 Numbers k such that k^5 is an interprime = average of two successive primes.

20, 42, 77, 81, 186, 198, 200, 220, 248, 266, 270, 294, 300, 387, 411, 477, 498, 537, 630, 678, 682, 696, 728, 741, 774, 819, 872, 985, 987, 1001, 1014, 1037, 1060, 1083, 1084, 1087, 1098, 1140, 1155, 1162, 1232, 1245, 1278, 1316, 1370, 1392, 1397, 1402

Offset

1,1

Comments

Interprimes are in A024675, even interprimes are in A072568, odd interprimes are in A072569 n^2 as interprimes are in A075190, n^3 as interprimes are in A075191, n^4 as interprimes are in A075192, n^6 as interprimes are in A075229, n^7 as interprimes are in A075230, n^8 as interprimes are in A075231, n^9 as interprimes are in A075232, n^10 as interprimes are in A075233, a(n) such that a(n)^n = smallest interprime (of the form a^n) are in A075234.

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Example

20 is a term because 20^5 = 3200000 is the average of two successive primes 3199997 and 3200003.

Maple

s := 5: for n from 2 to 1000 do if prevprime(n^s)+nextprime(n^s)=2*n^s then print(n) else; fi; od;

Crossrefs

Cf. A024675, A072568, A072569, A075190, A075191, A075192.

Cf. A075229, A075230, A075231, A075232, A075233, A075234.

Sequence in context: A041796 A041798 A132762 * A256102 A128672 A290184

Adjacent sequences: A075225 A075226 A075227 * A075229 A075230 A075231

Keyword

nonn

Author

Zak Seidov, Sep 09 2002

Extensions

More terms from Jason Earls, Sep 09 2002

Edited by Robert G. Wilson v Sep 14 2002

Status

approved