login
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
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
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
KEYWORD
nonn,more
AUTHOR
Jinyuan Wang, Mar 04 2020
STATUS
approved