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A057841 Powers of 2, 2^x, corresponding to extremal cases of A055079. Their nonprime divisor number is the exponent. For these exponents no number exists with 2 or more distinct prime-divisors. Thus 2^x is minimal, it is in fact a term of A055079. +0
2
2, 8, 2048, 34359738368, 2361183241434822606848, 3138550867693340381917894711603833208051177722232017256448 (list; graph; listen)
OFFSET

0,1

EXAMPLE

The next item is 2^419. It has 127 decimal digits. The largest known term is the 34th, it is 2^15239 with 4588 decimal digits.

CROSSREFS

A000005, A001221, A001222, A055079, A058060, A058061, A057838.

Sequence in context: A073630 A027733 A054874 this_sequence A135238 A133376 A160814

Adjacent sequences: A057838 A057839 A057840 this_sequence A057842 A057843 A057844

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Nov 24 2000

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Last modified November 25 08:41 EST 2009. Contains 167481 sequences.


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