|
Search: id:A093440
|
|
|
| A093440 |
|
Smallest prime of the form product of n terms of an arithmetic progression with first term 1 + 1, or 0 if no such prime exists. |
|
+0
1
|
|
| 2, 3, 7, 281, 76561, 576577, 17873857, 643458817, 337767408001, 21617114112001, 39916801, 119715577952256001, 1980990543353657472001, 26582634158080001, 3577861898239093446857008573440001, 711975497511453268455460274177
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
Conjecture: No term is zero.
If n!+1 is prime (A002981) then a(n)=A088332(n). - Hugo Pfoertner (hugo(AT)pfoertner.org), Nov 18 2004
|
|
EXAMPLE
|
a(1) =2 = 1+1, a(4) =281= 1*4*7*10 +1, 1*2*3*4 +1 = 25 is composite.
a(5) = 76561 = 1*8*15*22*29 +1.
|
|
CROSSREFS
|
Cf. A002981, A088332.
Sequence in context: A079637 A062662 A084727 this_sequence A100763 A132538 A062615
Adjacent sequences: A093437 A093438 A093439 this_sequence A093441 A093442 A093443
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 01 2004
|
|
EXTENSIONS
|
More terms from Hugo Pfoertner (hugo(AT)pfoertner.org), Nov 18 2004
|
|
|
Search completed in 0.002 seconds
|
