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Search: id:A119483
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| A119483 |
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Multipliers of sequential primes required to produce a product consisting of digits not greater than 1. |
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+0
2
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| 5, 37, 2, 143, 1, 77, 653, 579, 4787, 37969, 3581, 3, 271, 25607, 213, 1887, 186629, 1641, 16433, 141, 137, 126709, 1217, 123709, 114433, 1, 107767, 934673, 9183579, 8947, 86693, 771, 73, 792159, 739, 7351, 64338223, 6197, 66533, 5843937
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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a(n) is the smallest number m such that the largest digit of m*prime(n) is 1. - Farideh Firoozbakht (mymontain(AT)yahoo.com), Jun 03 2006
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FORMULA
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Find the number which when multiplied by the next prime, produces a product of all 1's and 0's or all 1's
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EXAMPLE
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a(1)=37 because 3*37=111
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MATHEMATICA
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a[n_]:=(For[m=1, Max[IntegerDigits[m*Prime[n]]]!=1, m++ ]; m); Do[Print[a[n]], {n, 1, 40}] - Farideh Firoozbakht (mymontain(AT)yahoo.com), Jun 03 2006
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PROGRAM
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UBASIC 10 'neils361, Enoch Haga, 20 May 2006 11 'inspired by Carlos Rivera's Puz361 20 N=19:Y=Y+1:K=0 30 Z=N*Y 40 S=str(Z) 50 A=alen(Z) 60 for X=2 to A+1 70 M=val(mid(S, X, 1)) 80 if M>1 then K=K+1 90 next X 100 if K=0 then print Z, N, Y, K:stop 110 Y=Y+1:K=0:goto 30
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CROSSREFS
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Cf. A119484.
Sequence in context: A118018 A156355 A002666 this_sequence A157809 A079339 A043075
Adjacent sequences: A119480 A119481 A119482 this_sequence A119484 A119485 A119486
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KEYWORD
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easy,nonn
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AUTHOR
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Enoch Haga (Enokh(AT)comcast.net), May 23 2006
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