A296236 Prime-slideable 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.
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
Offset: 1
Examples
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.
Programs
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PARI
is_A296236(n,d=matdiagonal(n=digits(n)),v=[1..#n]+n)={!n||forvec(s=vector(#n,i,[0,1]),vecmax(p=v-2*s*d)-vecmin(p)==#p-1&&#p==#Set(p)&&isprime(sum(i=1,#p,10^(vecmax(p)-p[i])*n[i]))&&return(1))}
Comments