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A234423
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a(n) = the smallest multiple of prime(n) such that a(n) == j-1 (mod j) for each integer j with 1 <= j < prime(n).
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0
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2, 3, 35, 119, 2519, 277199, 5045039, 183783599, 4655851199, 80313433199, 32607253879199, 2743667504978399, 58772246027695199, 5038384364010597599
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OFFSET
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1,1
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COMMENTS
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Sequence of numbers k(n): 1, 1, 7, 17, 229, 21323, 296767, 9672821, 202428313, 2769428731, 1051846899329, ...
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LINKS
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EXAMPLE
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Prime(4) = 7, a(4) = 119 = 7*17 because 119 is smallest multiple of 7 such that 119 mod 1 = 0, 119 mod 2 = 1, 119 mod 3 = 2, 119 mod 4 = 3, 119 mod 5 = 4, 119 mod 6 = 5.
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PROG
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(PARI) for(n=1, 10, p=prime(n); forstep(m=p, 10^11, p, forstep(j=p-1, 1, -1, if(m%j<>j-1, next(2))); print(n " " m); next(2))) \\ Donovan Johnson, Dec 30 2013
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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