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 A164648 Numbers n such that sigma(n)/phi(n) = 25/16. 5
 40859, 48505, 54385, 121771, 156125, 565607, 1154419, 1219933, 1294363, 2448397, 3590461, 9710975, 16067363, 16069573, 17984515, 19013455, 21341755, 25804115, 26515223, 27656155, 29655415, 30372605, 32101255, 34467653, 36546355, 38043943, 38645981, 39559219 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS A subsequence of A011257. If 5^{k+1}-1 = d*D such that p = 2*5^{k+1}*(d+1)-1 and q = 2*(5^{k+1}+D)-1 are distinct primes, then n = 5^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=5), cf. A164646. LINKS Donovan Johnson, Table of n, a(n) for n = 1..1000 MATHEMATICA Select[Range[1000000, 2000000], DivisorSigma[1, #]/EulerPhi[#] == 25/16 &] (* Carl Najafi, Aug 16 2011 *) PROG (PARI) for( n=1, 1e7, sigma(n)==25/16*eulerphi(n) && print1(n", ")) CROSSREFS Cf. A000010 (=phi), A000203 (=sigma), A068390 (sigma/phi=4), A163667 (sigma/phi=9), A164646 (sigma/phi=9/4). Sequence in context: A249879 A046180 A031668 * A232301 A212080 A097479 Adjacent sequences:  A164645 A164646 A164647 * A164649 A164650 A164651 KEYWORD nonn AUTHOR M. F. Hasler, Aug 22 2009 EXTENSIONS More terms from Carl Najafi, Aug 16 2011 STATUS approved

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Last modified January 19 20:16 EST 2022. Contains 350466 sequences. (Running on oeis4.)