Post small primes and tell us about your progress here

[grobie]

Here is an update on my k:

n=161510 is prime

[Kosmaj]

Justin [Justinsane] found that 2029*2^n-1 is prime for following n:

13497, 18509, 26801, 28217, 38443, 48329, 88321, 119765, 154597, 307763

He's testing ahead both k=2039 and k=165. No limits reported.

[grobie]

Originally Posted by grobie

Here is an update on my k:

n=161510 is prime

Here is an update on my update lol:

n=161586 is prime
n=162023 is prime

[kar_bon]

prime for n=1, 4, 7, 9, 17, 21, 33, 38, 40, 44, 45, 48, 52, 68, 89, 117, 118, 128, 160, 175, 184, 206, 241, 250, 368, 385, 417, 418, 426, 448, 512, 537, 727, 839, 1007, 1034, 1039, 1055, 1060, 1121, 1161, 1294, 1301, 1307, 1372, 1894, 2145, 2310, 2318, 2402, 2693, 2711, 3046, 3056, 3070, 3282, 3382, 3404, 3538, 3907, 3984, 4800, 5469, 5646, 5910, 5915, 6801, 8052, 8657, 8968, 9014, 9049, 9338, 10129, 11485, 11784, 12373, 15454, 16289, 18635, 19711, 19879, 20161, 21928, 23871, 25033, 26312, 27369, 28761, 34226, 34713, 39784, 53392, 55141, 78128, 97041, 99448 (100k) (97 primes)
twin for n=4 and 52; 3 Sophie Germain

[gd_barnes]

Here is my status for Nov. month-end for k's > 300 for record here. It is what was on my web page as of yesterday. It's easier for me to show all of the primes in the range tested so that is what I'm doing.

k=2145:
range tested: 200K-435K
primes 213621*, 214257*, 214994*, 323459, 345415, 372766, 414996, 425089, 430852 (!!)

k=19437, 102765, 3545685, 111546435, 115029915, 120023475, 290499495, 686701125, 775784295, 968911515, 1019370495, and 3428677395:
ranges tested: 200K-266.3K and 328K-368.4K
primes k / n:
19437: 211357* (...) 331364, 364045
102765: (...) 333354
3545685: (...) 349477
111546435: 209565*, 210761*, 257139*, (...) 328183* [other primes found by others]
115029915: (...) 334568*, 337129*
120023475: 254906 (...) 334084, 359311
290499495: 224928, 257434
686701125: 225149, 238938 (...) 355908, 366708
775784295: 206406, 222937, 227488, 234206, 245390 (...) 334420, 340381, 341106
968911515: 207877, 213176, 214518, 226971, 244245
1019370495: 210362, 225325, 249834
3428677395: 203702 (...) 357369

* - confirmed prime(s) previously found by others

The following ranges searched are exceptions to the above that include ranges that have been previously searched by others:

k=111546435: -368.4K (all ranges tested)
k=115029915: -266.3K, 269.2K-385K


Gary

[kar_bon]

resolving "(95 primes 0-50k)":
prime for n: 6, 11, 13, 14, 23, 24, 27, 29, 36, 42, 46, 56, 57, 66, 73, 74, 76, 79, 84, 121, 143, 149, 157, 162, 182, 190, 193, 194, 211, 235, 260, 287, 308, 315, 360, 435, 448, 466, 507, 597, 650, 714, 760, 767, 797, 976, 1037, 1071, 1136, 1199, 1360, 1541, 1599, 2209, 2219, 2333, 2555, 2558, 3021, 3071, 3397, 3531, 3797, 3851, 4008, 4122, 4134, 4738, 5023, 5570, 5826, 6495, 6552, 7228, 7398, 7695, 8563, 10026, 10346, 10440, 12427, 13423, 13731, 14786, 17411, 18469, 18544, 20313, 20651, 23147, 27670, 28002, 29211, 32124, 38567, 53587, 59135, 67280, 78877.

5 Sophie Germain, 3 twins at n=46, 57 and 190.

99 primes upto n=100k.

PS: perhaps there're others to help out resolving such expressions in the summary pages (many of them!).

Karsten

[Flatlander]

I am working on k = 1425 from n = 100,000 and from n = 334,000.

1425*2^125100-1 is prime.

[kar_bon]

resolving "(95 primes 0-50k)":
1, 2, 8, 9, 14, 28, 33, 34, 39, 41, 43, 48, 80, 85, 89, 99, 104, 108, 111, 112, 123, 134, 153, 174, 181, 183, 190, 207, 211, 290, 306, 318, 323, 327, 342, 377, 398, 440, 586, 590, 617, 640, 653, 691, 797, 946, 970, 1150, 1163, 1377, 1710, 1733, 1776, 2045, 2103, 2187, 2349, 2502, 2626, 2674, 2735, 2896, 3099, 3298, 3346, 3490, 3566, 4122, 4129, 4437, 4640, 4894, 5347, 5430, 5551, 5566, 5726, 6614, 8847, 10222, 12609, 12846, 13328, 16913, 17766, 20266, 22411, 23341, 27391, 30827, 31913, 33597, 35056, 45605, 49439

95 primes for n=0 to 50k
4 Sophie Germain, one twin at n=112

[kar_bon]

resolving "(98 primes 0-50k)":
prime n's: 1, 7, 8, 14, 16, 27, 30, 34, 42, 45, 63, 85, 87, 99, 119, 121, 133, 146, 176, 231, 237, 278, 279, 287, 303, 308, 387, 400, 435, 474, 475, 512, 522, 525, 638, 868, 873, 915, 1148, 1330, 1360, 1395, 1463, 1533, 1682, 1689, 1741, 1756, 1774, 1811, 1856, 1944, 2295, 2415, 2494, 2787, 2828, 2871, 2894, 3118, 3139, 3258, 3330, 3827, 3910, 4185, 4309, 5296, 5390, 5738, 7105, 7675, 8098, 10458, 10753, 12440, 12553, 13399, 14241, 15465, 16651, 18664, 19250, 19362, 19749, 20939, 21275, 23480, 29519, 32649, 36056, 37725, 42896, 44644, 45022, 45319, 48013, 49442.

98 primes upto 50k.
3 twins at n=27, 63 and 308 and also 3 Sophie Germain pairs.

[kar_bon]

prime n: 2, 8, 15, 16, 22, 27, 32, 37, 39, 40, 45, 48, 51, 61, 63, 68, 77, 79, 81, 93, 95, 96, 98, 103, 115, 119, 147, 189, 205, 209, 212, 215, 236, 261, 302, 313, 328, 346, 440, 467, 539, 593, 599, 634, 740, 776, 799, 805, 817, 875, 1003, 1068, 1136, 1508, 1523, 1795, 1922, 2445, 2724, 3028, 3136, 3974, 4054, 4952, 5068, 5210, 5452, 5506, 7585, 7901, 7938, 10093, 10448, 10638, 11922, 12164, 12413, 12706, 13456, 14087, 14778, 15944, 17467, 21336, 21972, 22896, 23117, 27792, 28939, 29069, 34050, 36934, 39943, 43514, 45207, 48472, 49890.
97 primes upto 50k.
3 Sophie Germain and also 3 twins at n=39, 45 and 77.

[Flatlander]

Originally Posted by Flatlander

I am working on k = 1425 from n = 100,000 and from n = 334,000.

1425*2^125100-1 is prime.

k = 1425 tested to 200,000.

1425*2^135516-1 is prime.