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Search: id:A147799
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OFFSET
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1,1
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COMMENT
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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.
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PROGRAM
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(PARI) A147799(n, p=7)={ local( m=n=p^n ); for( a=1, n\2, a%p|next; m > 2*A007947(a) | next; m > A007947(n-a)*A007947(a) | next; m = A007947(n-a)*A007947(a) ); m }
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CROSSREFS
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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 this_sequence A071021 A074002 A140959
Adjacent sequences: A147796 A147797 A147798 this_sequence A147800 A147801 A147802
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KEYWORD
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more,nonn
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AUTHOR
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M. F. Hasler (MHasler(AT)univ-ag.fr), Nov 13 2008
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