

A111677


Array of primes of the type k concatenated with 2n1 where k < 2n1. 1> no prime 13,23 5> no prime 17,37,47,67 19,29,59,79,89 211,311,811,911 113,313,613,1013,1213 15> no prime 317,617,... ... Sequence contains the number of terms in the nth rows.


2



0, 2, 0, 4, 5, 4, 5, 0, 4, 7, 7, 9, 0, 8, 9, 12, 10, 0, 12, 14, 11, 12, 0, 16, 15, 19, 17, 0, 23, 18, 17, 20, 0, 22, 19, 22, 23, 0, 24, 25, 25, 26, 0, 26, 27, 28, 30, 0, 29, 28, 25, 29, 0, 28, 28, 26, 23, 0, 24, 33, 33, 30, 0, 28, 30, 33, 26, 0, 25, 34, 27, 32, 0, 32, 34, 35, 42, 0, 33
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OFFSET

1,2


COMMENTS

Conjecture: a(n)=0 iff n== 3 (mod 5). [Corrected by R. J. Mathar, Aug 20 2007]
Subsidiary sequences: (1) First occurrence of n in A111677. There are numbers like 3 which probably do not occur in this sequence, let a(3) = 1. (2) Terms that do not occur in A111677.


LINKS



EXAMPLE

For 2n1 = 9, we have primes 19,29,59,79 and 89. Hence a(5) = 5.


MAPLE

cat2 := proc(n, m) n*10^(max(1, ilog10(m)+1))+m ; end: A111677 := proc(nrow) local town1, k, a ; town1 := 2*nrow1 ; a := [] ; for k from 1 to town11 do if isprime(cat2(k, town1)) then a := [op(a), cat2(k, town1)] ; fi ; od; RETURN(nops(a)) ; end: seq(A111677(nrow), nrow=1..80) ; # R. J. Mathar, Aug 20 2007


CROSSREFS



KEYWORD

base,nonn


AUTHOR



EXTENSIONS



STATUS

approved



