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A081547 Smallest composite number which is 1 more than the product of n (not necessarily distinct) prime numbers. +0
2
4, 10, 9, 25, 33, 65, 129, 385, 513, 1025, 2049, 4097, 8193, 16385, 32769, 98305, 131073, 262145, 524289, 1048577, 2097153, 4194305, 8388609, 16777217, 33554433, 67108865, 134217729, 268435457, 536870913, 1073741825, 2147483649 (list; graph; listen)
OFFSET

1,1

COMMENT

a(2*n+1) = 2^(2*n+1)+1, n>0. - Vladeta Jovovic (vladeta(AT)Eunet.yu), Apr 02 2003

FORMULA

For n>2, a(n) = 2^n+1 unless this is a Fermat prime (A019434), in which case a(n) = 2^(n-1)*3+1 (which is divisible by 5). - Dean Hickerson (dean(AT)math.ucdavis.edu), Apr 05 2003

CROSSREFS

Cf. A081545, A081546, A081548, A073919, A007583.

Sequence in context: A123483 A073722 A053248 this_sequence A111072 A045855 A102535

Adjacent sequences: A081544 A081545 A081546 this_sequence A081548 A081549 A081550

KEYWORD

nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 01 2003

EXTENSIONS

More terms from Vladeta Jovovic (vladeta(AT)Eunet.yu), Apr 02 2003

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Last modified September 8 08:06 EDT 2008. Contains 143486 sequences.


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