login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A121387 Semiprimes p*q with p and q primes of the form 4k+1 (A002144). 7

%I #31 Oct 28 2023 09:24:27

%S 25,65,85,145,169,185,205,221,265,289,305,365,377,445,481,485,493,505,

%T 533,545,565,629,685,689,697,745,785,793,841,865,901,905,949,965,985,

%U 1037,1073,1145,1157,1165,1189,1205,1241,1261,1285,1313,1345,1369,1385,1405,1417

%N Semiprimes p*q with p and q primes of the form 4k+1 (A002144).

%C p and q can be the same. [_Harvey P. Dale_, Jan 15 2012]

%C The terms are semiprimes of the form 4k + 1, and comprise only a portion of all such semiprimes, see A108181. - _Richard R. Forberg_, Aug 27 2013

%H François Huppé, <a href="/A121387/b121387.txt">Table of n, a(n) for n = 1..10000</a> (First 1000 terms from T. D. Noe).

%e 65 = 5 * 13. Note that 5 mod 4 = 1 and 13 mod 4 = 1, so 65 is a term.

%t With[{prs=Select[Prime[Range[150]],Mod[#,4]==1&]},Take[Union[Times @@@ Tuples[prs,2]],60]] (* _Harvey P. Dale_, Jan 15 2012 *)

%Y Cf. A001358, A002144.

%Y Fifth row of A121388.

%Y Union of A080109 and A131574.

%Y Cf. A107978, A080774, A108181.

%K easy,nonn

%O 1,1

%A _Alford Arnold_, Jul 26 2006, corrected Jun 24 2007

%E Better definition from _T. D. Noe_, Sep 25 2007

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 18 15:48 EDT 2024. Contains 371780 sequences. (Running on oeis4.)