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A102237 Smallest number equal to the product of n primes which is also equal to the sum of n distinct primes. +0
1
2, 9, 12, 36, 48, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536, 131072, 262144, 524288, 1048576, 2097152, 4194304, 8388608, 16777216, 33554432, 67108864, 134217728, 268435456, 536870912, 1073741824, 2147483648 (list; graph; listen)
OFFSET

1,1

COMMENT

Conjecture: a(n) = 2^n for n>5. (Chandler)

EXAMPLE

a(1) = 2;

a(2) = 9 = 3*3 = 2+7;

a(3) = 12 = 2*2*3 = 2+3+7;

a(4) = 36 = 2*2*3*3 = 3+5+11+17;

a(5) = 48 = 2*2*2*2*3 = 2+3+5+7+31.

CROSSREFS

Sequence in context: A129829 A053900 A126977 this_sequence A076505 A129345 A125019

Adjacent sequences: A102234 A102235 A102236 this_sequence A102238 A102239 A102240

KEYWORD

nonn

AUTHOR

Giovanni Teofilatto (g.teofilatto(AT)tiscalinet.it), Feb 18 2005

EXTENSIONS

Corrected and extended by Ray Chandler (rayjchandler(AT)sbcglobal.net) Feb 25 2005

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Last modified November 30 22:12 EST 2008. Contains 150989 sequences.


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