

A245495


Primes of the form n!  (n+1)! + (n+2)! + 1.


1



103, 4441, 36650881, 5787936001, 19702293811201, 1075342687614074880001, 8547762518578406446202880000001, 59043709472234119545920159524322926688993280000000001, 698533028148544417308552639358841460358000936394290829866303488000000000001
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OFFSET

1,1


COMMENTS

The next term a(10) has 95 digits which is too large to show in data section.
a(16) has 1181 digits, hence not included in bfile.
Primes for indices 3, 5, 9, 11, 14, 20, 27, 41, 54, 65, 81, 83, 105, 315, 323, 515, ...  Robert G. Wilson v, Aug 07 2014


LINKS

K. D. Bajpai, Table of n, a(n) for n = 1..15


EXAMPLE

m = 3: m!  (m+1)! + (m+2)! + 1 = 103, which is prime, hence appears in the sequence.
m = 5: m!  (m+1)! + (m+2)! + 1 = 4441, which is prime, hence appears in the sequence.


MATHEMATICA

Select[Table[n!  (n + 1)! + (n + 2)! + 1, {n, 200}], PrimeQ[#] &]


PROG

(PARI)
a(n) = p=n!(n+1)!+(n+2)!+1; if(ispseudoprime(p), return(p))
n=1; while(n<100, if(a(n), print1(a(n), ", ")); n++) \\ Derek Orr, Jul 27 2014


CROSSREFS

Cf. A000040, A049984, A049432.
Sequence in context: A113629 A034180 A076460 * A097726 A262273 A088584
Adjacent sequences: A245492 A245493 A245494 * A245496 A245497 A245498


KEYWORD

nonn


AUTHOR

K. D. Bajpai, Jul 24 2014


STATUS

approved



