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A158236 The base for the numbers in A158235.

%I A158236 #17 Aug 08 2025 03:54:06
%S A158236 3,7,22,7,18,22,30,68,68,313,313,41,313,146,653,313,499,313,710,313,
%T A158236 653,313,423,313,292,499,313,653,313,710,439,499,653,699,99,4366,423,
%U A158236 653,521,581,499,710,653,653,710,4701,653,699,4366,710,653,4611,787,2272
%N A158236 The base for the numbers in A158235.
%C A158236 The prime 313 appears 10 times. Which numbers are allowed as bases?
%H A158236 Michael De Vlieger and Michel Marcus, <a href="/A158236/b158236.txt">Table of n, a(n) for n = 1..100</a> (first 75 terms from Michel Marcus).
%e A158236 From _Michael De Vlieger_, Sep 08 2017: (Start)
%e A158236 Bases that appear, for numbers 2 <= m <= 101000 in A158235, i.e., for 1 <= n <= 100. f = frequency of b in a(n) for m in the range shown above:
%e A158236 Base b   f  Prime factors of b
%e A158236 ------------------------------
%e A158236      3   1  3
%e A158236      7   2  7
%e A158236     18   1  2, 3, 3
%e A158236     22   2  2, 11
%e A158236     30   1  2, 3, 5
%e A158236     41   1  41
%e A158236     68   2  2, 2, 17
%e A158236     99   1  3, 3, 11
%e A158236    146   1  2, 73
%e A158236    239   2  239
%e A158236    292   1  2, 2, 73
%e A158236    313  10  313
%e A158236    423   2  3, 3, 47
%e A158236    439   1  439
%e A158236    499   4  499
%e A158236    521   1  521
%e A158236    581   1  7, 83
%e A158236    653   9  653
%e A158236    699   2  3, 233
%e A158236    710   6  2, 5, 71
%e A158236    787   1  787
%e A158236   1047   1  3, 349
%e A158236   1353   1  3, 11, 41
%e A158236   1425   1  3, 5, 5, 19
%e A158236   1660   1  2, 2, 5, 83
%e A158236   1714   1  2, 857
%e A158236   2060   1  2, 2, 5, 103
%e A158236   2174   1  2, 1087
%e A158236   2198   1  2, 7, 157
%e A158236   2272   5  2, 2, 2, 2, 2, 71
%e A158236   2819   4  2819
%e A158236   3019   1  3019
%e A158236   4366  13  2, 37, 59
%e A158236   4526   2  2, 31, 73
%e A158236   4611   6  3, 29, 53
%e A158236   4701   8  3, 1567
%e A158236   6205   1  5, 17, 73
%e A158236 (End)
%t A158236 (* See A158235. *)
%Y A158236 Cf. A158235, A158237.
%K A158236 nonn
%O A158236 1,1
%A A158236 _T. D. Noe_, Mar 14 2009