Write n in base 10 as d1d2d3.....dk; for a list of primes P = (p1,p2,p3,....pk) with p1<p2<p3<.....<pk, let A(P,n)=(p1^d1)*(p2^d2)*(p3^d3)*.....(pk^dk) and B(P,n)= concatenation of primes and powers = p1&d1&p2&d2&p3&d3&.......&pk&dk. Then a(n) is the smallest number A(P,n) such that A(P,n)>B(p,n) if it exists, otherwise 0.

A134328

Write n in base 10 as d1d2d3.....dk; for a list of primes P = (p1,p2,p3,....pk) with p1<p2<p3<.....<pk, let A(P,n)=(p1^d1)*(p2^d2)*(p3^d3)*.....(pk^dk) and B(P,n)= concatenation of primes and powers = p1&d1&p2&d2&p3&d3&.......&pk&dk. Then a(n) is the smallest number A(P,n) such that A(P,n)>B(p,n) if it exists, otherwise 0.

Terms

    a(0) =0a(1) =121a(2) =125a(3) =625a(4) =32a(5) =64a(6) =128a(7) =256a(8) =512a(9) =0a(10) =0a(11) =219122a(12) =24344a(13) =4802a(14) =6250a(15) =31250a(16) =4374a(17) =13122a(18) =39366a(19) =0a(20) =10170397a(21) =24964a(22) =8575a(23) =2500a(24) =12500a(25) =2916a(26) =8748a(27) =26244a(28) =78732a(29) =31855013

External references