A164650 Numbers m such that sigma(m)/phi(m) = 49/36.

679, 10127, 20273, 672203, 971261, 1133639, 1247129, 1336231, 1646743, 1701089, 2369471, 2674969, 2722499, 2989909, 3160079, 3597659, 4545749, 6333503, 7127861, 9357101, 10574629, 20070061, 52928293, 67931137, 74731807, 79940069, 80704813, 93444911, 128155333

Offset

1,1

Comments

A subsequence of A011257.

If 7^(k+1)-1 = d*D such that p = 2*7^(k+1)*(d+1)-1 and q = 2*(7^(k+1)+D)-1 are distinct primes, then m = 7^k*p*q is a term of this sequence.

The same theorem holds for sequences of numbers such that sigma/phi=b^2/(b-1)^2 with other primes b (here b=7), cf. A068390, A164646, A164648.

Links

Donovan Johnson, Table of n, a(n) for n = 1..1000

Prog

(PARI) for( n=1, 1e7, sigma(n)==49/36*eulerphi(n) && print1(n", "))

Crossrefs

Cf. A000010 (=phi), A000203 (=sigma), A068390 (sigma/phi=4), A163667 (sigma/phi=9), A164646-A164649.

Sequence in context: A199995 A352263 A340091 * A200828 A097772 A257828

Adjacent sequences: A164647 A164648 A164649 * A164651 A164652 A164653

Keyword

nonn

Author

M. F. Hasler, Aug 22 2009

Status

approved