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

%I #3 Mar 30 2012 18:50:38

%S 7,13,31,37,97,109,151,193,307,751,769,1453,1723,2917,3541,5113,8011,

%T 10303,12289,12697,15973,17293,28057,30103,86143,106033,147073,151687,

%U 362953,459007,492103,552793,579883,598303,684757,704761,712891

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

%e 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;

%e 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.

%Y Cf. A087195.

%K nonn

%O 1,1

%A _Reinhard Zumkeller_, Aug 24 2003