A182180 Semiprimes that become prime when their digits are sorted into nonincreasing order.

14, 34, 35, 38, 118, 119, 121, 133, 134, 142, 143, 145, 146, 166, 194, 214, 215, 218, 314, 334, 341, 346, 358, 361, 365, 377, 386, 395, 398, 413, 415, 437, 451, 473, 514, 517, 538, 583, 614, 634, 635, 671, 734, 737, 778, 779, 791, 799, 818, 835, 838, 878, 893

Offset

1,1

Comments

Suggested by Kevin L. Schwartz.

Links

Alois P. Heinz, Table of n, a(n) for n = 1..1000

Example

a(10) = 121 = 11*11, which becomes the prime 211 when its digits are sorted into nonincreasing order.

Maple

h:= proc(m) local k; for k from m+1 while isprime(k) or
            add(i[2], i=ifactors(k)[2])<>2 do od; k
    end:
a:= proc(n) option remember; local k;
      k:= h(a(n-1));
      do if isprime(parse(cat(sort(convert(k, base, 10), `>`)[])))
            then return k else k:=h(k) fi
      od
    end: a(0):=0:
seq(a(n), n=1..80);  # Alois P. Heinz, Apr 23 2012

Crossrefs

Cf. A000040, A001358, A115670 Semiprimes (A001358) whose digit reversal is prime, A182150 Semiprimes that are also semiprime when their digits are sorted into nondecreasing order.

Sequence in context: A065933 A276715 A115670 * A112878 A175559 A158899

Adjacent sequences: A182177 A182178 A182179 * A182181 A182182 A182183

Keyword

nonn,base,easy

Author

Jonathan Vos Post, Apr 23 2012

Extensions

More terms from Alois P. Heinz, Apr 23 2012

Status

approved