

A296236


Primeslideable numbers: such that a prime can be obtained by moving each digit d by d places either to the left or right, without creating a hole or overlap.


1



2, 3, 5, 7, 11, 13, 20, 31, 35, 79, 97, 112, 113, 300, 311, 1021, 1124, 1201, 1243, 1333, 1465, 1546, 2011, 2114, 2231, 2312, 2536, 3001, 3122, 3337, 6752, 6877, 7423, 7441, 7687, 7742, 7867, 7966, 8956, 8996, 10031, 10114, 10211, 11113, 11144, 11221, 11300, 11311, 11336, 11354, 11413
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OFFSET

1,1


COMMENTS

A 2digit number 10a + b is in the sequence if a  b = 2 (or 0) and 10b + a is prime.


LINKS

Table of n, a(n) for n=1..51.


EXAMPLE

The number 35 is in the sequence because if the digit 3 is moved three places to the left and the digit 5 is moved five places to the left, this results in the number 53 (three place to the left from the initial position, which does not matter), and 53 is prime.


PROG

(PARI) is_A296236(n, d=matdiagonal(n=digits(n)), v=[1..#n]+n)={!nforvec(s=vector(#n, i, [0, 1]), vecmax(p=v2*s*d)vecmin(p)==#p1&&#p==#Set(p)&&isprime(sum(i=1, #p, 10^(vecmax(p)p[i])*n[i]))&&return(1))}


CROSSREFS

Cf. A296242 (slideable numbers), A296010 (slideable numbers).
Sequence in context: A067910 A171574 A280937 * A334041 A181172 A075430
Adjacent sequences: A296233 A296234 A296235 * A296237 A296238 A296239


KEYWORD

nonn,base


AUTHOR

M. F. Hasler, Dec 09 2017


STATUS

approved



