- Hi All,

Not sure who (if anyone, as the Chris's prime pages doesn't track them) is interested in this type of prime but fyi

((3369281*35+16)*587502*9001#*(587502*9001#+1)+210)*(587502*9001#-1)/35+5

((3369281*35+16)*587502*9001#*(587502*9001#+1)+210)*(587502*9001#-1)/35+11

are 11593 digit sexy prime pair.

Primality testing ((3369281*35+16)*587502*9001#*(587502*9001#+1)+210)*(587502*9001#-1)/35+5 [N-1/N+1, Brillhart-Lehmer-Selfridge]

Running N-1 test using base 2

Running N+1 test using discriminant 9029, base 1+sqrt(9029)

Calling N+1 BLS with factored part 33.33% and helper 0.01% (99.99% proof)

1/10

((3369281*35+16)*587502*9001#*(587502*9001#+1)+210)*(587502*9001#-1)/35+5 is prime! (234.0480s+0.0032s)

Primality testing ((3369281*35+16)*587502*9001#*(587502*9001#+1)+210)*(587502*9001#-1)/35+11 [N+1, Brillhart-Lehmer-Selfridge]

Running N+1 test using discriminant 3, base 3+sqrt(3)

Calling Brillhart-Lehmer-Selfridge with factored part 33.32%

Proof incomplete rerun with -x31194

((3369281*35+16)*587502*9001#*(587502*9001#+1)+210)*(587502*9001#-1)/35+11 is Lucas PRP! (47.9885s+0.0033s)

rerunning as instructed yields

Primality testing ((3369281*35+16)*587502*9001#*(587502*9001#+1)+210)*(587502*9001#-1)/35+11 [N+1, Brillhart-Lehmer-Selfridge]

Running N+1 test using discriminant 3, base 3+sqrt(3)

Calling Brillhart-Lehmer-Selfridge with factored part 33.32%

1/31194

8193/31194

16385/31194

24577/31194

((3369281*35+16)*587502*9001#*(587502*9001#+1)+210)*(587502*9001#-1)/35+11 is prime! (56.3391s+0.0033s) - Ken Davis wrote:
> Not sure who (if anyone, as the Chris's prime pages doesn't track them) is

Congrats. As far as I know, that is the largest proven pair, and the largest

> interested in this type of prime but fyi

>

> ((3369281*35+16)*587502*9001#*(587502*9001#+1)+210)*(587502*9001#-1)/35+5

> ((3369281*35+16)*587502*9001#*(587502*9001#+1)+210)*(587502*9001#-1)/35+11

>

> are 11593 digit sexy prime pair.

prp pairs are in http://mersenneforum.org/showthread.php?t=11381#10

I don't think anybody is maintaining a record page.

I only posted the former 11004-digit proven record to

http://mersenneforum.org/showthread.php?t=11381#12

--

Jens Kruse Andersen - Hi All,

A gigantic cousin pair (to go with the sexy pair)

((8907956*35+16)*587502*9001#*(587502*9001#+1)+210)*(587502*9001#-1)/35+1

((8907956*35+16)*587502*9001#*(587502*9001#+1)+210)*(587502*9001#-1)/35+5

with 11594 digitS

Primality testing ((8907956*35+16)*587502*9001#*(587502*9001#+1)+210)*(587502*9001#-1)/35+1 [N-1, Brillhart-Lehmer-Selfridge]

Running N-1 test using base 2

Calling Brillhart-Lehmer-Selfridge with factored part 33.32%

Proof incomplete rerun with -x41241

((8907956*35+16)*587502*9001#*(587502*9001#+1)+210)*(587502*9001#-1)/35+1 is PRP! (19.4720s+0.0029s)

rerunning as instructed yields

Primality testing ((8907956*35+16)*587502*9001#*(587502*9001#+1)+210)*(587502*9001#-1)/35+1 [N-1, Brillhart-Lehmer-Selfridge]

Running N-1 test using base 2

Calling Brillhart-Lehmer-Selfridge with factored part 33.32%

1/41240

8193/41240

16385/41240

24577/41240

32769/41240

40961/41240

((8907956*35+16)*587502*9001#*(587502*9001#+1)+210)*(587502*9001#-1)/35+1 is prime! (30.4132s+0.0024s)

Primality testing ((8907956*35+16)*587502*9001#*(587502*9001#+1)+210)*(587502*9001#-1)/35+5 [N-1/N+1, Brillhart-Lehmer-Selfridge]

Running N-1 test using base 9007

Running N+1 test using discriminant 9013, base 1+sqrt(9013)

Running N+1 test using discriminant 9013, base 2+sqrt(9013)

Calling N+1 BLS with factored part 33.34% and helper 0.01% (100.02% proof)

((8907956*35+16)*587502*9001#*(587502*9001#+1)+210)*(587502*9001#-1)/35+5 is prime! (279.4887s+0.0025s)

Cheers

Ken