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 A frugal sequence (Posted on 2012-09-14)
Find the longest(?) string of consecutive frugal numbers.

Def: A frugal number is a natural number that has more digits than the number of digits in its prime factorization (including exponents). For example, 128=2^7 and 29282=2*11^4

 Submitted by Ady TZIDON Rating: 5.0000 (1 votes) Solution: (Hide) Pinch shows that, under a plausible hypothesis related to the twin prime conjecture, there are arbitrarily long sequences of consecutive economical numbers, and exhibits such a sequence of length nine starting at 1034429177995381247. Therefore - there is no "longest", but longest known so far. SEE ALSO: oeis -economical numbers

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 Subject Author Date re(4): Solution Ady TZIDON 2017-03-18 10:45:24 re(4): interesting side topic -- economical numbers -- transcription error compounded Charlie 2012-09-15 15:29:05 re(3): interesting side topic -- economical numbers -- transcription error compounded broll 2012-09-15 11:00:30 re(2): interesting side topic -- economical numbers -- transcription error compounded Charlie 2012-09-15 10:33:20 re: interesting side topic -- economical numbers Dej Mar 2012-09-15 06:40:03 interesting side topic -- economical numbers Charlie 2012-09-15 01:35:11 re: computer results so far Charlie 2012-09-14 18:01:25 computer results so far Charlie 2012-09-14 15:59:58 re(3): Solution Charlie 2012-09-14 15:57:10 re(2): Solution Ady TZIDON 2012-09-14 14:19:47 possible approach broll 2012-09-14 12:09:13 re: Solution broll 2012-09-14 11:52:53 Solution Chris, PhD 2012-09-14 10:21:40

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