A087196 Primes of the form 1+(1+p)*p^e, p prime and e>0.

7, 13, 31, 37, 97, 109, 151, 193, 307, 751, 769, 1453, 1723, 2917, 3541, 5113, 8011, 10303, 12289, 12697, 15973, 17293, 28057, 30103, 86143, 106033, 147073, 151687, 362953, 459007, 492103, 552793, 579883, 598303, 684757, 704761, 712891

Offset

1,1

Links

Table of n, a(n) for n=1..37.

Example

p=2, e=12: 1+(1+A000040(1))*A000040(1)^12 = 1+(1+2)*2^12 = 1+3*128 = 12289 = A000040(1470), therefore 12289 is a term: a(19)=A087195(54)=12289;
p=23, e=2: 1+(1+A000040(9))*A000040(9)^2 = 1+(1+23)*23^2 = 1+24*529 = 12697 = A000040(1516), therefore 12697 is a term: a(20)=A087195(55)=12697.

Crossrefs

Cf. A087195.

Sequence in context: A023243 A335794 A331077 * A074963 A283937 A231626

Adjacent sequences: A087193 A087194 A087195 * A087197 A087198 A087199

Keyword

nonn

Author

Reinhard Zumkeller, Aug 24 2003

Status

approved