OFFSET
1,1
COMMENTS
The function sigma(n) is the sum of positive divisors function and the function phi(n) is the Euler totient function.
The positive values of s-t for primes p<2000 are 0, 2, 3, 4.
a(15) > 2*10^9. - Donovan Johnson, Feb 15 2013
MATHEMATICA
ds1Q[p_]:=With[{c=DivisorSigma[1, 2p+1]}, Mod[c, EulerPhi[p]]-Mod[c, p]<0]; Select[Prime[Range[500000]], ds1Q] (* The program generates the first 13 terms of the sequence. *) (* Harvey P. Dale, Nov 16 2024 *)
PROG
(PARI) p=1; for(i=1, 10^9, p=nextprime(p+1); s=sigma(2*p+1); if(s%(p-1)<s%p, print(p))) /* Donovan Johnson, Feb 15 2013 */
CROSSREFS
KEYWORD
nonn,more,changed
AUTHOR
Juan Lopez Gonzalez (juan.lopezg(AT)estudiante.uam.es), Apr 25 2008
EXTENSIONS
a(10)-a(12) added by R. J. Mathar, May 23 2008
a(13)-a(14) from Donovan Johnson, Feb 15 2013
STATUS
approved