OFFSET
1,1
COMMENTS
Semiprimes of the form 4k+3. - Giovanni Teofilatto, Jun 15 2005
There are 971 semiprimes of the form 4k+3 below 10,000.
LINKS
T. D. Noe, Table of n, a(n) for n=1..1000
Eric Weisstein's World of Mathematics, Semiprime
Wikipedia, Semiprime
EXAMPLE
a(1) = 15 = 3*5 = (4*1+1)*(4*0+3).
MATHEMATICA
Select[Range[15, 1000, 2], Last /@ FactorInteger[#] == {1, 1} && IntegerQ[(# - 3)/4] &] (* Vladimir Joseph Stephan Orlovsky, May 07 2011 *)
Select[4*Range[200]+3, PrimeOmega[#]==2&] (* Harvey P. Dale, Nov 02 2024 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Reinhard Zumkeller, Mar 10 2003
STATUS
approved