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A106745 Numbers n such that 101101 * 10^n + 1 is prime. +0
1
5, 6, 7, 12, 21, 25, 300, 305, 600, 689, 742, 1418, 1547, 1744, 5275, 6355, 7477, 15312, 16772, 33047 (list; graph; listen)
OFFSET

1,1

COMMENT

These are anti-Yarborough primes, i.e. primes containing just 1's and 0's and they have all been certified. Primality proof for the largest: PFGW Version 20041001.Win_Stable (v1.2 RC1b) [FFT v23.8] Primality testing 101101*10^33047+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 69.89% 101101*10^33047+1 is prime! (194.9694s+0.0907s)

LINKS

R. Ondrejka, The Top Ten: a Catalogue of Primal Configurations.

CROSSREFS

Cf. A020449.

Sequence in context: A022566 A047320 A011761 this_sequence A165776 A003273 A006991

Adjacent sequences: A106742 A106743 A106744 this_sequence A106746 A106747 A106748

KEYWORD

nonn

AUTHOR

Jason Earls (zevi_35711(AT)yahoo.com), May 16 2005

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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