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A088276 Smallest k such that 10^k + r is a prime ending (least significant digits) in r where r is the n-th odd number not divisible by 5. 0 if no such number exists. +0
1
1, 1, 1, 1, 0, 2, 0, 3, 3, 0, 2, 0, 2, 3, 2, 2, 0, 5, 0, 2, 2, 0, 2, 0, 3, 2, 2, 3, 0, 2, 0, 2, 2, 0, 3, 0, 2, 2, 2, 2, 0, 3, 0, 3, 4, 0, 3, 0, 6, 3, 8, 3, 0, 4, 0, 4, 4, 0, 10, 0, 3, 3, 23, 4, 0, 3, 0, 4, 3, 0, 4, 0, 3, 5, 3, 5, 0, 3, 0, 6, 3, 0, 5, 0, 4, 3, 3, 633, 0, 3, 0, 3, 3, 0, 3, 0, 9, 4, 4, 3, 0, 4, 0 (list; graph; listen)
OFFSET

0,6

COMMENT

Conjecture: (1) The only zero entries are for values of r == 2 (mod 3). (2) There are infinitely many values of k such that 10^k + r is a prime if r is not == 2 (mod 3).

EXAMPLE

The term corresponding to 21 is 3 as 21, 121 both are composite and 1021 is a prime. 1021 = 10^3 + 21 hence k = 3.

CROSSREFS

Sequence in context: A049799 A087985 A004557 this_sequence A099838 A127449 A138057

Adjacent sequences: A088273 A088274 A088275 this_sequence A088277 A088278 A088279

KEYWORD

base,nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Sep 28 2003

EXTENSIONS

More terms from Ray Chandler (rayjchandler(AT)sbcglobal.net), Oct 15 2003

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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