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A143641 Odd prime-proof numbers (A118118) not ending in 5. 3
212159, 595631, 872897, 1203623, 1293671, 1566691, 1702357, 1830661, 3716213, 3964169, 4103917, 4134953, 4173921, 4310617, 4376703, 4586509, 4703801, 4749187, 4801387, 4928909, 5005353, 5051179, 5231739, 5258901, 5317573 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Most "prime-proof" numbers are even or multiples of 5, cf. A118118.

Nicol & Selfridge proved that this sequence is infinite. - Charles R Greathouse IV, Jan 27 2014

LINKS

Klaus Brockhaus, Table of n, a(n) for n = 1..3655 (terms < 500000000)

Michael Filaseta, Mark Kozek, Charles Nicol and John Selfridge, Composites that remain composite after changing a digit, Journal of Combinatorics and Number Theory 2 (2011), pp. 25-36.

Project Euler, Problem 200 (2008)

PROG

(PARI) forstep( i=1, 10^7, 2, i%5 || next; isA118118(i) && print1(i", "))

(MAGMA) IsA143641:=function(n); D:=Intseq(n); return Intseq(n)[1] ne 5 and forall{ <k, j>: k in [1..#D], j in [0..9] | not IsPrime(Seqint(Insert(D, k, k, [j]))) }; end function; [ n: n in [1..4000000 by 2] | IsA143641(n) ]; // Klaus Brockhaus, Mar 03 2011

CROSSREFS

Cf. A118118.

Sequence in context: A158993 A231418 A186694 * A184383 A234829 A184652

Adjacent sequences:  A143638 A143639 A143640 * A143642 A143643 A143644

KEYWORD

base,nonn

AUTHOR

M. F. Hasler, Aug 27 2008, Sep 04 2008

STATUS

approved

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Last modified April 19 21:10 EDT 2014. Contains 240777 sequences.