20211115, 05:52  #45  
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
2666_{16} Posts 
Quote:
I only need ~20 to hit CPAP8. The pyramid constant for this form with a certain level of sieving is 20. Pyramid goes like this: you test candidates, 1/20 of them yields hits of 1st order, 1/20^{2} of them yields hits of 2nd order, etc... (each level is ~1/20) Currently: Code:
53367736 ..6937 2664600 ..7147 132644 ..7357 6621 ..7567 309 ..7777 24 ..7987 > 1/20 of these can have a hit at ..6727 (i.e. CPAP7) 1 ..8197 > CPAP7, 1/20 of these can have a hit at ..6727 (i.e. CPAP8) 0 ..8417 > CPAP8, 1/20 of these can have a hit at ..6727 (i.e. CPAP9) 

20211115, 06:34  #46 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
23146_{8} Posts 
CPAP8
CPAP8 is found [early, actually] (also improves CPAP7):
8081110034864*619#+x253+210*n, n=1..8 (272 digits) CPAP7 new record is (interim): 8081110034864*619#+x253+210*n, n=2..8 
20211115, 07:03  #47 
Jan 2007
Germany
2×239 Posts 
>Define B1 !
B1=1 I know, there a not all 100% composite but it is possible that k*1261#/2154317507668859+d,d=0,....1260 the only 7 primes. I wish I had your CPUpark, Serge ! Last fiddled with by Cybertronic on 20211115 at 07:04 
20211115, 07:33  #48  
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
2×5×983 Posts 
Quote:
That's why the construction of those x99, x253 and xOther addends is genial (they remove all that guess work), and "my"* x10 for CPAP46 is also quite good (*I am pretty sure that I only "re"discovered it. I did put it to good practical use though.) 

20211115, 08:08  #49 
Jan 2007
Germany
2×239 Posts 

20211120, 06:16  #50 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
10011001100110_{2} Posts 
new CPAP9 record
A new CPAP9 updated record
7661619169627*379#+x153+210*n, n=0..8 (167 digits) where Code:
x153=965638364011503965472274037609810695853057694474510858763504060537115782698320398681243637298572057965220341992180981784112973206136355565433981118807417 This is not perfect for CPAP9; you have to go small so the modulo leaves sacrifices in the sequence of [N .. N+1680]; note that the perfect presieved x253 has no sacrificed holes. x153 leaves 30 holes so you have to work for a while so that no intermingling primes creep in the 30 holes ... but the stats is on our side. You search for a while and you find one. Next stop: updated CPAP10. 
20211120, 08:10  #51 
Jan 2007
Germany
2×239 Posts 
updated
Congratulation Serge !
Site is updated: https://www.pzktupel.de/JensKruseAndersen/CPAP.htm 
20211121, 20:55  #52 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
2·5·983 Posts 
CPAP7

20211122, 07:51  #53 
Jan 2007
Germany
478_{10} Posts 
CPAP7 is updated

20211126, 14:45  #54 
Jan 2007
Germany
2·239 Posts 
CPAP  new design
Also I have now refreshed the CPAPsite.
It is more compact and CPAPk history have more than 10 now. http://www.pzktupel.de/JensKruseAndersen/CPAP.htm regards Norman 
20211201, 09:03  #55 
Jan 2007
Germany
111011110_{2} Posts 
CC
BTW, the overworked page of CC is also online.
https://www.pzktupel.de/JensKruseAndersen/cc.htm 
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