A147799 - OEIS

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A147799

Minimal value of A007947(m(7^n-m)) with m coprime to 7.

6, 6, 30, 30, 282, 2262, 17034, 36006, 71070 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	COMMENTS	`The minima are reached for m values given in A147804.` `This is related to the abc conjecture, see also A143702, A147801, A147800 (2^n, 3^n, 5^n analogues) and A147298 (general case).` `All terms of this sequence are even, so one could also consider A147799/2 = 3, 3, 15, 15, 141, 1131, 8517, 18003, 35535,... So far these terms are also multiples of 3, but this might be a coincidence.`
	PROG	`(PARI) A147799(n, p=7)={ local( m=n=p^n ); for( a=1, n\2, a%p\|next; m > 2A007947(a) \| next; m > A007947(n-a)A007947(a) \| next; m = A007947(n-a)*A007947(a) ); m }`
	CROSSREFS	`Cf. A007947, A147804 (m values); A143702, A147801, A147800 (analogue for 2^n, 3^n, 5^n), A147298 (general case).` `Sequence in context: A054436 A055522 A078637 * A071021 A074002 A140959` `Adjacent sequences: A147796 A147797 A147798 * A147800 A147801 A147802`
	KEYWORD	`more,nonn`
	AUTHOR	`M. F. Hasler (www.univ-ag.fr/~mhasler), Nov 13 2008`

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Last modified February 15 10:28 EST 2012. Contains 205763 sequences.