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A052014
Primes with distinct digits in descending order.
9
2, 3, 5, 7, 31, 41, 43, 53, 61, 71, 73, 83, 97, 421, 431, 521, 541, 631, 641, 643, 653, 743, 751, 761, 821, 853, 863, 941, 953, 971, 983, 5431, 6421, 6521, 7321, 7541, 7621, 7643, 8431, 8521, 8543, 8641, 8731, 8741, 8753, 8761, 9421, 9431, 9521, 9631, 9643
OFFSET
1,1
COMMENTS
Last term is a(87) = 98765431.
LINKS
M. F. Hasler, Table of n, a(n) for n = 1..87. [The full list of terms.]
MATHEMATICA
Select[Prime[Range[1200]], Max[DigitCount[#]] == 1 && And@@Negative[ Differences[IntegerDigits[#]]]&] (* Harvey P. Dale, Oct 22 2011 *)
t={}; Do[p=Prime[n]; If[Select[Differences[IntegerDigits[p]], # >= 0&] == {}, AppendTo[t, p]], {n, 1195}]; t (* Jayanta Basu, May 04 2013 *)
PROG
(PARI) A052014=[]; for( i=1, 1023, c=-1; isprime( t=sum( j=0, 9, if(bittest(i, j), j*10^c++))) & A052014=concat(A052014, t)); A052014=vecsort(A052014)
CROSSREFS
KEYWORD
nonn,base,fini,full
AUTHOR
Patrick De Geest, Nov 15 1999
STATUS
approved