

A145741


Numbers p such that p + 4*m^2 is prime for m = 0,1,2,3,...,10.


9



163, 409333, 1867783, 828497443, 2059599067, 5767711867, 8965599883, 9655686727, 9671300983, 12627473917, 19635778453, 31428255373, 76292280733, 140192390683, 141077258953, 141805795657, 150360096973, 176552953273, 186521536807, 250298387047
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OFFSET

1,1


COMMENTS

It is obvious that all terms are prime.
A very strange and interesting thing related to the first term: All 20 numbers 163+4*m^2 for m=0,1,2,...,19 are prime.
There are 3136 terms below 10^15, ending with 999926956948957.  Jens Kruse Andersen, Oct 24 2008


LINKS



EXAMPLE

All 11 numbers 2059599067 + 4*m^2 for m = 0,1,2,...,10 are prime, so 2059599067 is a term.


PROG

(PARI) forprime(p=1, 5*10^8, c=0; for(m=1, 10, if(!isprime(p+4*m^2), break); c+=1); if(c==10, print1(p, ", "))) \\ Derek Orr, Jul 25 2017


CROSSREFS



KEYWORD

nonn


AUTHOR



EXTENSIONS



STATUS

approved



