Reserving S617 to n=300k (100-300k) for BOINC

Reserving R540 as new base using the new-base script up to 2.5k and sieving to 10k (1G) with srsieve2

Reserving R763 as new base using the new-base script up to 2.5k and sieving to 10k (1G) with srsieve2

Reserving R1012 as new base using the new-base script up to 2.5k and sieving to 10k (1G) with srsieve2

[QUOTE=rebirther;536515]Reserving R540 as new base using the new-base script up to 2.5k and sieving to 10k (1G) with srsieve2[/QUOTE]
Just making sure you are aware that k values 2704, 61009, and 786615 can be eliminated from the conjecture, 2704 due to 52^2 and 541 on odd n, 786615 due to 15*229^2 and 541 on even n, and 61009 due to the below algebraic factorization.
All k where k = m^2 and k == 9550 or 7603 mod 17153:
for even n let k = m^2 and n = 2*q, factors to:
(m*540^q-1)(m*540^q+1)
odd n:
covering set 17, 1009

[QUOTE=NHoodMath;536525]Just making sure you are aware that k values 2704, 61009, and 786615 can be eliminated from the conjecture, 2704 due to 52^2 and 541 on odd n, 786615 due to 15*229^2 and 541 on even n, and 61009 due to the below algebraic factorization.
All k where k = m^2 and k == 9550 or 7603 mod 17153:
for even n let k = m^2 and n = 2*q, factors to:
(m*540^q-1)(m*540^q+1)
odd n:
covering set 17, 1009[/QUOTE]


Impressive work figuring out k=61009. I definitely would not have found that one. The new srsieve may or may not have found it.

Reserving R746 to n=300k (200-300k) for BOINC

Reserving R774 to n=300k (200-300k) for BOINC

Reserving R848 to n=400k (200-400k) for BOINC

Reserving S926 to n=300k (100-300k) for BOINC

Reserving S984 to n=300k (100-300k) for BOINC

Reserving S885 as new base using the new-base script up to 2.5k and sieving to 10k (1G) with srsieve2

Reserving S508 as new base using the new-base script up to 2.5k and sieving to 10k (1G) with srsieve2

Reserving S685 as new base using the new-base script up to 2.5k and sieving to 10k (1G) with srsieve2

Reserving S533 to n=400k (200-400k) for BOINC

Reserving S624 as new base using the new-base script up to 2.5k and sieving to 10k (1G) with srsieve2

Reserving S673 as new base using the new-base script up to 2.5k and sieving to 10k (1G) with srsieve2

S638 tested to n=500k (400-500k)

nothing found, 1 remain

Results emailed - Base released

R785 tested to n=500k (400-500k)

nothing found, 1 remain

Results emailed - Base released

S577 update
 

S577 is at 128k, no primes found, continuing.

R510 tested to n=300k (200-300k)

nothing found, 2 remain

Results emailed - Base released