A344549 Largest prime with strictly ascending consecutive digits in base n.

5, 11, 19, 569, 41, 2423, 207593, 23456789, 811, 160403, 95401, 235776949, 208888661909, 9927935178558959, 889872307619, 14707209648376466477, 1245691, 340387811, 96209320840499118292907, 9614505639105223858867, 1068038871569, 28923381229, 202821360694037, 409991957243270502360389

Offset

3,1

Comments

This sequence in ascending bases, starting with base 3: 12, 23, 34, 2345, 56, 4567, 345678, 23456789, 678, 789AB, 34567, 23456789, 56789ABCDE, 23456789ABCDEF, 789ABCDEFG, 23456789ABCDEFGH, 9ABCD, 56789AB, 3456789ABCDEFGHIJK, 3456789ABCDEFGHIJ, DEFGHIJKL, 6789ABCD, 23456789ABC, 9ABCDEFGHIJKLMNOP.

Links

Table of n, a(n) for n=3..26.

Example

12_3 = 5 is the largest prime number with strictly ascending digits for this base.

Prog

(PARI) a(n)={forstep(k=n-1, 1, -1, forstep(j=n-k, 1, -1, my(t=fromdigits([j..j+k-1], n)); if(isprime(t), return(t)))); oo} \\ Andrew Howroyd, May 22 2021

Crossrefs

Cf. A006055, A138141.

Sequence in context: A145934 A033913 A088124 * A345353 A029456 A304502

Adjacent sequences: A344546 A344547 A344548 * A344550 A344551 A344552

Keyword

nonn,base

Author

Hervé Loiseau, May 22 2021

Status

approved