A068419 Odd prime values of sigma(k) - phi(k) taking k in increasing order.
5, 11, 7, 23, 11, 47, 79, 73, 67, 23, 191, 283, 383, 739, 47, 1459, 281, 607, 59, 1153, 1069, 3319, 83, 1801, 2671, 3517, 743, 107, 6679, 3529, 6619, 6143, 6271, 4153, 10169, 9817, 167, 6451, 179, 24097, 23539, 10369, 227, 263, 16369, 41203, 20809, 54919
Offset: 1
Examples
sigma(2312) - phi(2312) = 3517 is prime, so is in the sequence.
Crossrefs
Cf. A051612.
Programs
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PARI
lista(nn) = {for (k = 1, nn, if (isprime(p = (sigma(k) - eulerphi(k))) && (p % 2), print1(p, ", ")););} \\ Michel Marcus, Nov 24 2013
Extensions
Terms 3517, 10169, 9817 added by Michel Marcus, Nov 24 2013