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A083803 Smallest number k such that the concatenations k 2n-1 and 2n-1 k are both primes, or 0 if n = 5m+3. 1
1, 1, 0, 1, 7, 3, 1, 0, 3, 7, 13, 11, 0, 1, 27, 1, 7, 0, 3, 7, 9, 39, 0, 9, 1, 19, 51, 0, 1, 3, 7, 1, 0, 3, 49, 9, 3, 0, 17, 19, 1, 9, 0, 7, 23, 1, 11, 0, 1, 1, 77, 1, 0, 33, 1, 109, 11, 0, 1, 3, 3, 1, 0, 7, 1, 51, 39, 0, 3, 21, 59, 21, 0, 13, 47, 1, 1, 0, 9, 7, 9, 19, 0, 29, 3, 37, 149, 0, 7, 21 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Observation: Most of the members are prime or 1. The first composite k are a(15)=27, a(21)=9, a(22)=39, a(24)=9, a(27)=51, a(35)=49....

LINKS

Table of n, a(n) for n=1..90.

EXAMPLE

a(19) = 7 as 197 and 719 both are prime, a(15) =0.

MAPLE

A083803 := proc(n)

    if modp(n, 5) = 3 then

        0;

    else

        for k from 1 do

            if isprime(digcat2(k, 2*n-1) ) then

                if isprime(digcat2(2*n-1, k)) then

                    return k;

                end if;

            end if;

        end do:

    end if;

end proc: # R. J. Mathar, Aug 23 2014

CROSSREFS

Sequence in context: A253905 A154159 A334060 * A136595 A111475 A222581

Adjacent sequences:  A083800 A083801 A083802 * A083804 A083805 A083806

KEYWORD

base,nonn

AUTHOR

Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), May 08 2003

EXTENSIONS

More terms from David Wasserman, Nov 30 2004

STATUS

approved

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Last modified May 10 22:16 EDT 2021. Contains 343780 sequences. (Running on oeis4.)