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Search: id:A082126
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| A082126 |
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Smallest difference>1 between d and p/d for any divisor d of the partial product p of the sequence, starting with 19. |
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3
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| 19, 18, 29, 27, 9, 27, 2187, 6561, 531441, 387420489, 7625597484987, 328256967394537077627, 381520424476945831628649898809, 235655016338368235499067731945871638181119123
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Except for the first three, the members are all powers of 3. Proved by Luke Pebody, pers. comm.
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PROGRAM
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(PARI) p=19:for(n=1, 50, v=divisors(p):r=sqrt(p):t=0:for(k=1, matsize(v)[2], if(v[k]>=r, t=k:break)): if(v[t]^2==p, u=t, u=t-1): if(v[t]-v[u]<2, u=u-1:t=t+1):print1(v[t]-v[u]", "):p=p*(v[t]-v[u]))
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CROSSREFS
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Cf. A082120, A003681 (starts with 2, 3), A082128.
Sequence in context: A022975 A023461 A004460 this_sequence A131382 A057430 A010858
Adjacent sequences: A082123 A082124 A082125 this_sequence A082127 A082128 A082129
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KEYWORD
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nonn
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AUTHOR
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Ralf Stephan (ralf(AT)ark.in-berlin.de), Apr 04 2003
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