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A234423 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). 0
2, 3, 35, 119, 2519, 277199, 5045039, 183783599, 4655851199, 80313433199, 32607253879199, 2743667504978399, 58772246027695199, 5038384364010597599 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Sequence of numbers k(n): 1, 1, 7, 17, 229, 21323, 296767, 9672821, 202428313, 2769428731, 1051846899329, ...

LINKS

Table of n, a(n) for n=1..14.

EXAMPLE

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.

PROG

(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

CROSSREFS

Cf. A000040 (primes), A094998.

Sequence in context: A143887 A141503 A199696 * A165448 A111459 A042663

Adjacent sequences:  A234420 A234421 A234422 * A234424 A234425 A234426

KEYWORD

nonn

AUTHOR

Jaroslav Krizek, Dec 25 2013

EXTENSIONS

a(12)-a(14) from Donovan Johnson, Dec 30 2013

STATUS

approved

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Last modified July 18 21:25 EDT 2019. Contains 325144 sequences. (Running on oeis4.)