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Old 2016-04-29, 15:49   #1
Xyzzy
 
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Aug 2002

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Cool Projekt Gleitkommarechnerheizgerät

1,2,1,,,
2,3,1,,,
3,5,2,1,MV,3
4,7,3,1,MV,7
5,13,4,3,MV,191
6,17,6,3,MV,131
7,19,6,1,MV,7
8,31,10,3,MV,647
9,61,19,11,MV,43009213693
10,89,27,21,MV,(2^89/10^2)%10^21
11,107,33,20,MV,(2^107/10^12)%10^20
12,127,39,31,MV,(2^127-1)%10^31
13,521,157,140,MV,(2^521/10^2)%10^140
14,607,183,161,MV,(2^607/10^16)%10^161
15,1279,386,305,MV,(2^1279/10^69)%10^305
16,2203,664,635,MV,((2^2203-1)/10^21)%10^635
17,2281,687,666,MV,((2^2281-1)/10^13)%10^666
18,3217,969,936,MV,(2^3217/10^4)%10^936
19,4253,1281,1230,MV,(2^4253/10^48)%10^1230
20,4423,1332,1262,MV,(2^4423/10^33)%10^1262
21,9689,2917,2757,SB,(2^9689/10^91)%10^2757
22,9941,2993,2988,SB,(2^9941/10^3)%10^2988
23,11213,3376,3242,SB,(2^11213/10^72)%10^3242
24,19937,6002,5905,SB,(2^19937/10^64)%10^5905
25,21701,6533,6237,SB,(2^21701/10^45)%10^6237
26,23209,6987,6709,SB,(2^23209/10^110)%10^6709
27,44497,13395,13225,SB,(2^44497/10^52)%10^13225
28,86243,25962,25764,SB,(2^86243/10^152)%10^25764
29,110503,33265,32887,SB,(2^110503/10^369)%10^32887
30,132049,39751,39370,SB,(2^132049/10^67)%10^39370
31,216091,65050,64691,PL,(2^216091/10^118)%10^64691
32,756839,227832,70000,MV,(2^756839/10^36014)%10^70000
33,859433,258716,56156,GB,(2^859433-1)%10^56156
34,1257787,378632,60000,MV,(2^1257787/10^164080)%10^60000
35,1398269,420921,60000,MV,(2^1398269/10^61138)%10^60000
36,2976221,895932,60000,MV,(2^2976221/10^65464)%10^60000
37,3021377,909526,60000,MV,(2^3021377/10^418881)%10^60000
38,6972593,2098960,60000,MV,(2^6972593/10^339640)%10^60000
39,13466917,4053946,60000,MV,(2^13466917/10^79774)%10^60000
40,20996011,6320430,60000,MV,(2^20996011/10^131008)%10^60000
41,24036583,7235733,60000,MV,(2^24036583/10^13547)%10^60000
42,25964951,7816230,60000,MV,(2^25964951/10^135429)%10^60000
43,30402457,9152052,60000,MV,(2^30402457/10^69028)%10^60000
44,32582657,9808358,60000,MV,(2^32582657/10^238942)%10^60000
45,37156667,11185272,60000,MV,(2^37156667/10^243655)%10^60000
46,42643801,12837064,60000,MV,(2^42643801/10^58945)%10^60000
47,43112609,12978189,70000,MV,(2^43112609/10^38420)%10^70000
48,57885161,17425170,60000,MV,(2^57885161/10^105090)%10^60000
49,74207281,22338618,70000,MV,(2^74207281/10^32641)%10^70000
50,77232917,23249425,100000,AH,(2^77232917/10^80749)%10^100000
51,82589933,24862048,100000,AH,(2^82589933/10^24674579)%10^100000


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Old 2018-01-07, 19:49   #2
Xyzzy
 
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31,216091,65050,25010,PL,(2^216091/10^17592)%10^25010
31,216091,65050,64691,PL,(2^216091/10^118)%10^64691

32,756839,227832,50000,MV,(2^756839/10^136257)%10^50000
32,756839,227832,70000,MV,(2^756839/10^36014)%10^70000

33,859433,258716,50000,MV,(2^859433/10^42285)%10^50000
33,859433,258716,56156,GB,(2^859433-1)%10^56156

34,1257787,378632,50000,MV,(2^1257787/10^119173)%10^50000
34,1257787,378632,60000,MV,(2^1257787/10^164080)%10^60000

35,1398269,420921,50000,MV,(2^1398269/10^37827)%10^50000
35,1398269,420921,60000,MV,(2^1398269/10^61138)%10^60000

36,2976221,895932,50000,MV,(2^2976221/10^767789)%10^50000
36,2976221,895932,60000,MV,(2^2976221/10^65464)%10^60000

37,3021377,909526,50000,MV,(2^3021377/10^702316)%10^50000
37,3021377,909526,60000,MV,(2^3021377/10^418881)%10^60000

38,6972593,2098960,50000,MV,(2^6972593/10^381525)%10^50000
38,6972593,2098960,60000,MV,(2^6972593/10^339640)%10^60000

39,13466917,4053946,50000,MV,(2^13466917/10^157937)%10^50000
39,13466917,4053946,60000,MV,(2^13466917/10^102581)%10^60000
39,13466917,4053946,60000,MV,(2^13466917/10^79774)%10^60000

40,20996011,6320430,50000,MV,(2^20996011/10^6193479)%10^50000
40,20996011,6320430,60000,MV,(2^20996011/10^131008)%10^60000

41,24036583,7235733,50000,MV,(2^24036583/10^3069021)%10^50000
41,24036583,7235733,60000,MV,(2^24036583/10^13547)%10^60000

42,25964951,7816230,50000,MV,(2^25964951/10^5214128)%10^50000
42,25964951,7816230,60000,MV,(2^25964951/10^135429)%10^60000

43,30402457,9152052,50000,MV,(2^30402457/10^1629036)%10^50000
43,30402457,9152052,60000,MV,(2^30402457/10^69028)%10^60000

44,32582657,9808358,50000,MV,(2^32582657/10^7836670)%10^50000
44,32582657,9808358,60000,MV,(2^32582657/10^248088)%10^60000
44,32582657,9808358,60000,MV,(2^32582657/10^238942)%10^60000

45,37156667,11185272,50000,MV,(2^37156667/10^412682)%10^50000
45,37156667,11185272,60000,MV,(2^37156667/10^243655)%10^60000

47,43112609,12978189,60000,MV,(2^43112609/10^24296)%10^60000
47,43112609,12978189,70000,MV,(2^43112609/10^38420)%10^70000

49,74207281,22338618,50000,MV,(2^74207281/10^948782)%10^50000
49,74207281,22338618,60000,MV,(2^74207281/10^184638)%10^60000
49,74207281,22338618,70000,MV,(2^74207281/10^32641)%10^70000

50,77232917,23249425,25436,SB,(2^77232917/10^3)%10^25436
50,77232917,23249425,30000,MV,(2^77232917/10^1007594)%10^30000
50,77232917,23249425,31020,SB,(2^77232917/10^91704)%10^31020
50,77232917,23249425,40000,MV,(2^77232917/10^23771)%10^40000
50,77232917,23249425,100000,AH,(2^77232917/10^80749)%10^100000

51,82589933,24862048,57001,SB,(2^82589933/10^3378)%10^57001
51,82589933,24862048,100000,AH,(2^82589933/10^24674579)%10^100000


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Old 2021-11-28, 04:22   #3
MattcAnderson
 
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What is this?

Typed with the utmost of respect.

Matt
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Old 2021-11-28, 07:42   #4
paulunderwood
 
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Playing the sleuth, I think I can answer this. Putting "Gleit kommarechnerheizgerät" in to google translate gives "Sliding comma computer heater". The German people often concatenate their written words. The primes generated by M%N are self-explantory.
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Old 2021-11-28, 07:55   #5
Cybertronic
 
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As german I would think that "Gleitkommarechnerheizgerät" is : Project so that the PC have a lot of work with this Mersennenumbers and heats up the living space.
heizgerät = CPU

Last fiddled with by Cybertronic on 2021-11-28 at 07:57
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Old 2021-11-28, 19:53   #6
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Quote:
Originally Posted by Xyzzy View Post
1,2,1,,,
2,3,1,,,
3,5,2,1,MV,3
4,7,3,1,MV,7
5,13,4,3,MV,191
6,17,6,3,MV,131
7,19,6,1,MV,7
8,31,10,3,MV,647
9,61,19,11,MV,43009213693
10,89,27,21,MV,(2^89/10^2)%10^21

<snip>
The first two entries are n, p where p is the exponent of the nth (known) Mersenne prime. I don't know what "MV," "SB," or "AH" signify.

I fed the expression (2^89/10^2)%10^21 to Pari-GP and got an "impossible inverse modulo" error, because 2^89/10^2 is a fraction with denominator 25, which is not relatively prime to 10^21.

However, I took a guess and tried floor(2^89/10^2)%10^21. I also took the integer floor of similar fractions in several subsequent expressions. The resulting integers were prime, or at least "passed" a BPSW test.
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Old 2021-11-28, 20:27   #7
xilman
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Quote:
Originally Posted by Dr Sardonicus View Post
Twhat "MV," "SB," or "AH" signify.
Clue: PL == Paul Leyland.
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Old 2021-11-28, 22:16   #8
paulunderwood
 
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Quote:
Originally Posted by Dr Sardonicus View Post
I fed the expression (2^89/10^2)%10^21 to Pari-GP and got an "impossible inverse modulo" error, because 2^89/10^2 is a fraction with denominator 25, which is not relatively prime to 10^21.

However, I took a guess and tried floor(2^89/10^2)%10^21. I also took the integer floor of similar fractions in several subsequent expressions. The resulting integers were prime, or at least "passed" a BPSW test.
Another way to do it with Pari-GP is 2^89\10^2%10^21 where the infix operator \ gives the quotient.

Last fiddled with by paulunderwood on 2021-11-28 at 22:20
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Old 2021-11-28, 22:45   #9
slandrum
 
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So it looks like the project is examining the sequence of digits in the decimal representation of the Mersenne primes, and looking for large prime subsequences from those digits.

ETA: The 3rd number in each row is the number of decimal digits in the Mp, the 4th column is the length of the prime sequence being sought (or found?).

Last fiddled with by slandrum on 2021-11-28 at 22:53 Reason: Noted in the message
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Old 2021-11-29, 02:30   #10
Dr Sardonicus
 
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Quote:
Originally Posted by slandrum View Post
So it looks like the project is examining the sequence of digits in the decimal representation of the Mersenne primes, and looking for large prime subsequences from those digits.

ETA: The 3rd number in each row is the number of decimal digits in the Mp, the 4th column is the length of the prime sequence being sought (or found?).
OK, number of digits in Mp, indicated blocks of indicated number of decimal digits extracted from Mp which represent primes - or at least PRPs - looks right.

I suspect that all or most of the extracted blocks of 50000 or more digits have been shown - somehow - to be PRPs, but have not been proved prime.
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Old 2021-11-29, 10:34   #11
Batalov
 
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=SB
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