20100725, 22:04  #23  
May 2010
Prime hunting commission.
2^{4}×3×5×7 Posts 
Asking for it all along.
Quote:
Next general guideline: 4. Please, whatever you do, do not post their decimal expansion here. Good luck! Next: Base: 14; Exponent: 5900; krange: 56k to 126k. Also: A socalled "binary prime", a prime which only has digits 1 and 0: 10001010010100101011100010000100001110101101001011101011001011001010100110010101000100110110010010110000001001001 (113 digits) Can someone find a larger example? Last fiddled with by 3.14159 on 20100725 at 22:53 

20100725, 23:07  #24 
May 2010
Prime hunting commission.
1680_{10} Posts 
Submissions for the range:
67026 * 14^{5900} + 1 (6767 digits) 71412 * 14^{5900} + 1 (6768 digits) 79548 * 14^{5900} + 1 (6768 digits) 83607 * 14^{5900} + 1 (6768 digits) 86286 * 14^{5900} + 1 (6768 digits) 87601 * 14^{5900} + 1 (6768 digits) 102901 * 14^{5900} + 1 (6768 digits) 105651 * 14^{5900} + 1 (6768 digits) 110013 * 14^{5900} + 1 (6768 digits) 118981 * 14^{5900} + 1 (6768 digits) 122151 * 14^{5900} + 1 (6768 digits) Range completed. Last fiddled with by 3.14159 on 20100725 at 23:50 
20100726, 00:57  #25  
Mar 2006
Germany
3×31^{2} Posts 
Quote:
Code:
100100010001000010001000100100001000001000000001000000000000100000001000000000000100000000000000000000000000001000000100000000000000001 

20100726, 01:21  #26 
May 2010
Prime hunting commission.
3220_{8} Posts 
Code:
100100010001000010001000100100001000001000000001000000000000100000001000000000000100000000000000000000000000001000000100000000000000001 Last fiddled with by 3.14159 on 20100726 at 01:30 
20100726, 01:31  #27  
Mar 2006
Germany
3×31^{2} Posts 
Quote:
Changed your post! No it's not divisible by a small number (577 you gave if I remember correct). Which program you used to confirm primeness? You own PARIcode? So try another one! What about this one: Code:
1000100101000001000100001000010010000010001000001010000101000010111111111101111111011101111111111111111001010101000100110111111111111011111110111011111110111010010110010101001010101010111101011101011001 

20100726, 02:03  #28 
Aug 2006
3^{2}·5·7·19 Posts 
Well, there's always (10^109297  1)/9...

20100726, 02:07  #29  
May 2010
Prime hunting commission.
2^{4}·3·5·7 Posts 
Quote:
Quote:
Last fiddled with by 3.14159 on 20100726 at 02:11 

20100726, 02:10  #30 
Mar 2006
Germany
3·31^{2} Posts 

20100726, 02:11  #31  
May 2010
Prime hunting commission.
2^{4}·3·5·7 Posts 
Quote:
Last fiddled with by 3.14159 on 20100726 at 02:14 

20100726, 02:46  #32  
Mar 2006
Germany
3×31^{2} Posts 
Quote:
Try Code:
10010010010100100100100100100100100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 

20100726, 07:14  #33 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
22310_{8} Posts 
Off the top of my head,
11011*10^2212+1 111*10^2230+1 10111*10^2315+1 100111*10^2328+1 110011*10^2426+1 1101*10^2822+1 100101*10^2910+1 are prime. 2910+ digits. But that's peanuts. 
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