Primes of the form 4p+3, where p are primes of the form 4q+3...

Zakir Seidov zakseidov at gmail.com
Fri Jan 19 09:38:17 CET 2007


Dear seqfans,

Interesting(?) "recursive"(?) sequences(?):

A1=3,7,11,19,23,31,43,47,59,67,71,79,83,103,107,127,131,139,151,163,167
Primes of the form 4n+3, A1==A002145

A2=31,47,79,127,191,239,271,431,607,719,911,1087,1231,1327,1439,1471
Primes of the form 4p+3, where p are members of the A1.

A3=127,191,1087,2879,7039,7487,9151,11071,11519,16319,20479,23167
Primes of the form 4p+3, where p are members of the A2.

A4=11519,36607,81919,92671,111871,141311,171007,199679,320767,345599
Primes of the form 4p+3, where p are members of the A3.

A5={370687,565247,1590271,1691647,4411391,8207359,8348671,8613887
Primes of the form 4p+3, where p are members of the A4

A6=17645567,32829439,33394687,37122047,56496127,70582271,105934847
Primes of the form 4p+3, where p are members of the A5

A7=70582271,133578751,225984511,282329087,534315007,747929599
Primes of the form 4p+3, where p are members of the A6

A8=282329087,534315007,2137260031,5738004479,30504714239
Primes of the form 4p+3, where p are members of the A7

Anyone may wish to calculate A9, A10,...?

Thanks, Zak





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