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A055520 Numbers n such that 30*R_n + 1 is prime, where R_n = 11...1 is the repunit (A002275) of length n. +0
4
1, 2, 3, 4, 5, 6, 7, 17, 39, 49, 59, 77, 100, 150, 318, 381, 783, 1731, 1917, 8854, 11244, 11959, 12129, 18532, 22717, 23364, 24252, 24548, 25323, 30177, 53717 (list; graph; listen)
OFFSET

1,2

COMMENT

Also numbers n such that (10^(n+1)-7)/3 is prime.

REFERENCES

Martin Gardner, Strong Laws of Small Primes, in The Last Recreations, p. 194 (1997).

LINKS

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

Index entries for primes involving repunits

MATHEMATICA

Do[ If[ PrimeQ[30*(10^n - 1)/9 + 1], Print[n]], {n, 0, 50410}]

CROSSREFS

Equals A055557 minus 1.

Indices of A033175 that are primes. Cf. A051200, A055557.

Adjacent sequences: A055517 A055518 A055519 this_sequence A055521 A055522 A055523

Sequence in context: A065639 A039090 A138988 this_sequence A037342 A024644 A010354

KEYWORD

hard,nonn

AUTHOR

Eric Weisstein (eric(AT)weisstein.com)

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Last modified November 8 20:39 EST 2009. Contains 166234 sequences.


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