A015915 Numbers k such that sigma(k) + 8 = sigma(k+8).

3, 5, 11, 23, 27, 29, 53, 59, 71, 89, 101, 131, 149, 173, 191, 233, 263, 269, 359, 389, 401, 431, 449, 479, 491, 563, 569, 593, 599, 653, 683, 701, 719, 743, 761, 821, 911, 929, 983, 1013, 1031, 1061, 1109, 1163, 1193, 1223, 1229, 1283, 1289

Offset

1,1

Comments

Different from A023202. Below 1000000 four composites were found [27, 1615, 1885, 218984] satisfying the "sigma(k) + 8 = sigma(k+8)" relation, together with more than 8000 primes. - Labos Elemer, May 23 2000

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Example

sigma(27) + 8 = 48 = sigma(27+8), so 27 is in the sequence.

Mathematica

Select[Range[1300], DivisorSigma[1, #]+8==DivisorSigma[1, #+8]&] (* Harvey P. Dale, Jul 16 2011 *)

Prog

(PARI) is(n)=sigma(n)+8==sigma(n+8) \\ Charles R Greathouse IV, Mar 11 2014

Crossrefs

Cf. A000203, A015913-A015917, A023200-A023203, A046133, A001359, A054799.

Composite solutions are in A059118.

Sequence in context: A227806 A262431 A262085 * A275785 A106901 A154550

Adjacent sequences: A015912 A015913 A015914 * A015916 A015917 A015918

Keyword

nonn

Author

Robert G. Wilson v

Status

approved