

A332952


Squarefree semiprimes which never occur in A245486.


1



46, 58, 74, 94, 106, 118, 122, 134, 142, 158, 166, 194, 202, 206, 214, 262, 267, 274, 278, 298, 309, 314, 326, 334, 339, 346, 358, 362
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OFFSET

1,1


COMMENTS

Also squarefree semiprimes which never occur in A332951.
This sequence is infinite. It appears that all terms can be divisible by 2 or 3.
If A014664(i) = A014664(j) for some 1 < i < j, then 2*prime(i) is a term. See A245486 for more information.


LINKS

Table of n, a(n) for n=1..28.
Romanian Master in Mathematics Contest, Bucharest, 2020, Problem 6


EXAMPLE

a(2) = 58 because when 2^m  1 or 2^m + 1 is divisible by 29, it's also divisible by 113. Therefore, there's no integer k such that A245486(k) = A006530(k) * A006530(k+1) = 58.


CROSSREFS

Cf. A000040, A006530, A006881, A014664, A245486, A332951.
Sequence in context: A119385 A330243 A326646 * A308099 A308252 A322161
Adjacent sequences: A332949 A332950 A332951 * A332953 A332954 A332955


KEYWORD

nonn,more


AUTHOR

Jinyuan Wang, Mar 04 2020


STATUS

approved



