S000913


Left- or right-truncatable primes in base 6.

2, 3, 5, 11, 13, 17, 19, 23, 29, 31, 47, 53, 59, 67, 71, 79, 83, 89, 101, 103, 107, 127, 131, 137, 139, 157, 163, 167, 173, 179, 191, 193, 197, 199, 211, 263, 269, 283, 317, 347, 353, 359, 373, 379, 383, 389, 409, 431, 479, 491, 499, 503, 521, 563, 569, 571

1

S000913

These numbers must be converted to base 6 and then truncated. For instance, the number 101 is 245(6).

T. D. Noe, Plot of 5599 terms

T. D. Noe, Table of 5599 terms

See references in  A137812.

(Mma) b = 6; Clear[s]; n = 0; s[n] = Prime[Range[PrimePi[b-1]]]; While[cnt = 0; lst = Reap[Do[k = s[n][[i]]; Do[p = j*b^(n+1) + k; If[PrimeQ[p], Sow[p]; cnt++], {j, b-1}]; Do[p = b*k + j; If[PrimeQ[p], Sow[p]; cnt++], {j, b-1}], {i, Length[s[n]]}]]; cnt > 0, n++; s[n] = Union[lst[[2,1]]]]; t = s[0]; Do[t = Join[t, s[i]], {i, n}]; t

Cf. A137812 (base 10), S000910-S000916 (bases 9 to 3), S000917.

nonn,base,full

T. D. Noe, Jun 21 2016

© Tony D Noe 2014-2016