I'd put the estimate closer to n=770,000.

Well, I don't have my data at this computer, but I graphed the primes, made a trendline, and extrapolated the data. Of course, because of the high n-value, primes will come less frequently, but that should only add a small few extra percent per prime gap. I'll guess that I'll hit 150 primes by n=550,000 or so.

k=7605
 

Primes of 7605*2^n-1, in the n=10-50k interval.

n = 11120, 11950, 12219, 17994, 22895, 27754, 32782, 33625, 47609

n=22895 and n=27754 already reported by Gallot (g0) and Ballinger (g23) in 1998.

Will continue to 100k shortly.

227,722 digits for [url=http://primes.utm.edu/primes/page.php?id=87123]121212121212121 * 2^756429 - 1[/url]

Congrats on a nice prime, it appears to be your first one on the Top-5000 list. :smile:

Actually that's my friends first. I sieved that k to 1,160,702 and started LLRing it, then I got a friend with an i7 to do a chunk (587,600 - 836,287) and he found that prime in it.

My first is slightly higher up this page and just over half the number of digits.

k=7605
 

10 primes in the n=50-100k range:

52194, 57697, 59549, 63087, 73563, 75164, 76139, 78245, 81089, 93082

k=49185
 

k=49185 has been doublechecked to n=50K, there was a total of 79 primes. Attached is the residuals for all non-prime n's. Following 79 n's has been doublechecked as primes for n<=50K:

9, 16, 21, 24, 25, 26, 32, 33, 42, 45, 50, 53, 89, 90, 92, 93, 100, 120, 123, 167, 179, 192, 201, 204, 234, 276, 303, 340, 346, 371, 402, 587, 596, 674, 687, 741, 779, 803, 881, 903, 956, 962, 963, 1041, 1065, 1085, 1636, 1673, 1731, 1979, 2217, 2465, 2594, 2607, 3090, 3234, 3353, 3551, 4324, 5421, 7081, 7130, 7297, 7304, 7444, 9107, 11010, 11955, 12562, 13173, 13779, 14421, 18025, 20850, 21771, 22674, 22769, 26771, 46553

Next update will be early august when primes for n>50K to n<=100K will be added aswell as the residuals for the doublechecked non-prime n's will be added.

Regards

KEP

k=49185 is released by me. I'm not having the resources to take it further. Remember that this is a very prime k, so for anyone who wants to take it further from n=50K, you're into a huge leap :smile:

Take care.

KEP

[QUOTE=KEP;186841]k=49185 is released by me. I'm not having the resources to take it further. Remember that this is a very prime k, so for anyone who wants to take it further from n=50K, you're into a huge leap :smile:

Take care.

KEP[/QUOTE]

I've the resources now, to take it further. At the moment I'm sieving n=50001 to n=100M. I'll put all six cores on it, as I get to p=1T, and then I'll sieve untill optimal sievedepth for n=500K and test the entire 450K range of n's for this k, up untill n=500K. I'm hoping to see the hundreds of more primes come in the next year or so :smile:

Regards

KEP

Ps. Does anyone know, why my 79 primes, currently found and doublechecked, isn't added to the primes list?

[quote=KEP;199281]I've the resources now, to take it further. At the moment I'm sieving n=50001 to n=100M. I'll put all six cores on it, as I get to p=1T, and then I'll sieve untill optimal sievedepth for n=500K and test the entire 450K range of n's for this k, up untill n=500K. I'm hoping to see the hundreds of more primes come in the next year or so :smile:

Regards

KEP

Ps. Does anyone know, why my 79 primes, currently found and doublechecked, isn't added to the primes list?[/quote]
sieving to 100M is a waste of effort
it is very unlikely that u will get much past 1M with a very prime and presumably high weight k
unless u are sieving a low weight k or it is a small k i wouldnt sieve past 2M as it is pointless