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A088606 Smallest number k such that concatenation of k and prime(n) is a prime, or 0 if no other number exists. a(1) = a(3) = 0. +0
3
0, 1, 0, 1, 2, 1, 3, 4, 2, 2, 1, 1, 2, 4, 3, 3, 3, 4, 1, 2, 1, 1, 2, 3, 1, 5, 1, 5, 1, 2, 4, 2, 2, 4, 11, 1, 4, 1, 3, 6, 2, 1, 3, 1, 5, 6, 4, 1, 5, 1, 5, 2, 4, 2, 3, 6, 2, 3, 1, 2, 1, 2, 1, 2, 3, 6, 3, 4, 2, 4, 6, 3, 1, 1, 6, 2, 2, 4, 12, 1, 5, 4, 5, 1, 1, 5, 3, 3, 3, 3, 2, 5, 1, 3, 1, 2, 17, 2, 1, 3, 3, 2, 5, 5 (list; graph; listen)
OFFSET

1,5

COMMENT

Subsidiary sequences: (set(1)) Index of the start of the first occurrence of a string of n consecutive 1's or 2's or 3's etc. (set (2)): a(n) = smallest prime such that concatenation of 1 with n successive primes starting from a(n) gives primes in each case. ( n primes are obtained.) Similarly for 2,3, etc. Conjecture: The subsidiary sequences are infinite.

CROSSREFS

Cf. A096915.

Sequence in context: A162598 A088208 A081878 this_sequence A140073 A131389 A131394

Adjacent sequences: A088603 A088604 A088605 this_sequence A088607 A088608 A088609

KEYWORD

base,nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Oct 15 2003

EXTENSIONS

More terms from Ray Chandler (rayjchandler(AT)sbcglobal.net), Oct 18 2003

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Last modified December 5 23:38 EST 2009. Contains 170428 sequences.


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