cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A046396 Palindromes which are the product of 6 distinct primes.

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%I A046396 #19 Jun 07 2024 14:25:17
%S A046396 222222,282282,474474,555555,606606,646646,969969,2040402,2065602,
%T A046396 2206022,2417142,2646462,2673762,2875782,3262623,3309033,4179714,
%U A046396 4192914,4356534,4585854,4912194,5021205,5169615,5174715,5578755
%N A046396 Palindromes which are the product of 6 distinct primes.
%C A046396 The original definition "Palindromes with exactly 6 distinct prime factors" was misleading. For example, the number 414414 = 2 * 3^2 * 7 * 11 * 13 * 23 has exactly 6 distinct prime factors, although the factor 3 occurs twice. But the listed terms show that it is not in this sequence. See sequence A373466 for the variant corresponding to that definition. - _M. F. Hasler_, Jun 06 2024
%F A046396 Intersection of A002113 and A067885. - _M. F. Hasler_, Jun 06 2024
%t A046396 Select[Range[6*10^6],#==IntegerReverse[#]&&PrimeNu[#]==PrimeOmega[#]==6&] (* The program uses the IntegerReverse function from Mathematica version 10 *) (* _Harvey P. Dale_, Mar 17 2016 *)
%o A046396 (PARI) A046332_upto(N, start=1, num_fact=6)={ my(L=List()); while(N >= start = nxt_A002113(start), omega(start)==num_fact && issquarefree(start) && listput(L, start)); L} \\ _M. F. Hasler_, Jun 06 2024
%Y A046396 Cf. A046332 (similar, but for 6 prime factors counted with multiplicity).
%Y A046396 Cf. A002113 (palindromes), A067885 (products of 6 distinct primes).
%Y A046396 Cf. A074969 (numbers having 6 distinct prime divisors).
%K A046396 nonn,base
%O A046396 1,1
%A A046396 _Patrick De Geest_, Jun 15 1998
%E A046396 Name edited