20211023, 11:29  #1 
"Matthew Anderson"
Dec 2010
Oregon, USA
3·17·23 Posts 
2tuples
Hi all,
I made some changes to my 2tuples webpage. It was hosted for free by Google. Here is the Google Sites 2tuple page I am just putting it here for now. Can anyone change this to .pdf format and still include the clickable links? I can't do that with Open Office. Regards, Matt Last fiddled with by MattcAnderson on 20211023 at 11:30 Reason: added Google Sites page 
20211023, 13:04  #2 
Feb 2017
Nowhere
2^{5}·11·17 Posts 
This should fill the bill.

20211023, 17:09  #3 
"Matthew Anderson"
Dec 2010
Oregon, USA
3×17×23 Posts 
Thanks Dr Sardonicus,
That is exactly what I wanted. Regards, Matt 
20220214, 04:27  #4 
"Matthew Anderson"
Dec 2010
Oregon, USA
3·17·23 Posts 
behold,
it might be interesting. Matt look look  pairs 6 apart look  pairs 8 apart We can call these octal prime numbers. Regards, Matt A Some of this interesting data is redundant. More is already stored in the Online Encyclopedia of Integer Sequences (OEIS.org) See attached for links to existing data. Regards, Matt now 46 OEIS has not incorporated this yet. Maybe not of general interest. Matt now 48 now 50 a good place to stop, for now. Matt 
20220214, 05:05  #5 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
9,941 Posts 
a good place to stop, for sure.
Look, you just wasted 2.49 Mb of disk space that Mike is paying for  in mere 18 minutes. (Footnote: in Matt's inimitable fashion  the post above was not one post. No. It was eight messages one after another, inside 18 minutes between 1st and 8th. it is a bad thing when you talk to a person and he doesn't wait for your answer and doesn't let you insert a word. No, he keeps bursting into word chunks. Technical name for that is logorrhea  hence the name of this subforum, sounds familiar?) The real content in those 2.49 Mb is at most of 10Kb of text. At this rate, you can fill up universe with white noise in several days. Think about it. ok? P.S. Consider this an intervention. Which is long overdue. Were you actually idle around those 18 minutes? No  see that other thread: it is exactly like this one. Excited? No, sorry,  instead we are very worried. 
20220214, 05:28  #6 
"Matthew Anderson"
Dec 2010
Oregon, USA
3·17·23 Posts 
I gave Mike $100 and on another occasion, $20.
I did it on the down low, but now I feel I have to defend myself. So I contribute. I help keep mersenneforum.org going  monetarily And, this is a personal blog. Cheers P.S. This is my hobby. We are not that much different. Last fiddled with by MattcAnderson on 20220214 at 05:31 
20220214, 08:49  #7 
"Matthew Anderson"
Dec 2010
Oregon, USA
3·17·23 Posts 
All prime numbers are equal in value.
I'm a bit stirred up from the previous post.
How is the largest prime number known to human kind more important that a data set of ktuples? I say they are the same. Both are of marginal importance. Are there any real world problems that can be solved by knowing a bigger prime number? I say no. At least not today, and not in the short term future. We do these calculations because we can. The challenge is worth it. So, I paid for my blog, and I will put whatever I want on it. Good day sir. Regards, Matt Anderson 
20220214, 08:57  #8 
Sep 2002
Database er0rr
1000010111100_{2} Posts 
Maybe you should just put the Maple code and results in "code tags" not bloated PDFs, after all is anyone seriously going to a) open them via a download? and b) print them out?
(Good on you for your monetary contributions to the forum  why spoil it with bloat?) 
20220214, 21:01  #9 
"Matthew Anderson"
Dec 2010
Oregon, USA
3·17·23 Posts 
2 tuple with difference of 46
Hi all,
I choose a difference between prime numbers of 46 because that is the smallest even number that is not in the database at OEIS.org In my humble opinion, this data is as exciting as M48 or M51. From mersenne.org/primes/ we see that 2^(82,589,933)  1 is a prime number. But we really want the 100 smallest 2tuples that are 46 apart <wink>. I show my Maple code, and my list of prime pairs. Code:
# This is Maple code with some screen output. > m := Matrix(3, 100); > print(`output redirected...`); > for a to 100 do m[1, a] := a; end do; > m[1, 7]; 7 > # so column 1 of m Matrix contains 1,2,3, ... ,100. > count := 1; 1 > for a to 1000 do if isprime(a) and isprime(a+46) then m[2, count] := a; m[3, count] := a+46; print("interesting data", a, " ", a+46); count := count+1; end if; end do; # now column 2 of m Matrix contains the smaller of pairs with difference 46. # print to screen List of primes p such that p+46 is also a prime number. Code:
"interesting data", 7, " ", 53 "interesting data", 13, " ", 59 "interesting data", 37, " ", 83 "interesting data", 43, " ", 89 "interesting data", 61, " ", 107 "interesting data", 67, " ", 113 "interesting data", 103, " ", 149 "interesting data", 127, " ", 173 "interesting data", 151, " ", 197 "interesting data", 181, " ", 227 "interesting data", 193, " ", 239 "interesting data", 211, " ", 257 "interesting data", 223, " ", 269 "interesting data", 271, " ", 317 "interesting data", 307, " ", 353 "interesting data", 313, " ", 359 "interesting data", 337, " ", 383 "interesting data", 373, " ", 419 "interesting data", 397, " ", 443 "interesting data", 421, " ", 467 "interesting data", 433, " ", 479 "interesting data", 457, " ", 503 "interesting data", 463, " ", 509 "interesting data", 523, " ", 569 "interesting data", 541, " ", 587 "interesting data", 547, " ", 593 "interesting data", 571, " ", 617 "interesting data", 601, " ", 647 "interesting data", 607, " ", 653 "interesting data", 613, " ", 659 "interesting data", 631, " ", 677 "interesting data", 673, " ", 719 "interesting data", 727, " ", 773 "interesting data", 751, " ", 797 "interesting data", 811, " ", 857 "interesting data", 883, " ", 929 "interesting data", 907, " ", 953 "interesting data", 937, " ", 983 "interesting data", 967, " ", 1013 Cheers. Now your life is complete since you know that 967 and 1013 are prime pairs. <grin> 
20220214, 21:34  #10 
6809 > 6502
"""""""""""""""""""
Aug 2003
101×103 Posts
24763_{8} Posts 
Mod note: 3 different low post 2tuple threads merged.

20220215, 15:45  #11  
Feb 2017
Nowhere
2^{5}×11×17 Posts 
Quote:
(12) 0 4 6 10 16 18 24 28 30 34 40 46 48 (13tuplet) (11) 0 6 10 16 18 22 28 30 36 42 46 48 52 58 60 66 70 72 76 (19tuplet) (10) 0 4 10 16 18 24 28 36 40 46 54 58 60 66 70 78 84 88 94 100 106 108 114 120 124 126 130 136 138 144 148 150 154 156 (34tuplet) (9) 0 4 6 16 28 30 34 36 46 48 58 60 64 66 70 84 88 90 94 100 106 108 114 118 126 130 136 144 148 150 156 160 168 174 178 184 190 196 198 204 210 214 220 226 228 234 238 240 244 246 (50tuplet) (8) 0 4 6 16 30 34 36 46 48 58 60 64 70 78 84 88 90 94 100 106 108 114 118 126 130 136 144 148 150 156 160 168 174 178 184 190 196 198 204 210 214 216 220 226 228 234 238 240 244 246 (50tuplet) EDIT: This topic affords an illustration of how misleading the behavior of small numbers can be. First, I look for pairs of primes less than 500000 which differ by 48. I classify them by whether their indices differ by 1, 2, ..., 13. Out of the 9298 pairs found, only 67 of them are consecutive. [OK, I used pseudoprime() instead of isprime(). And I cheated on the size of the vector w. I guessed too big in a dry run, and then pared it down.] Code:
? m=precprime(50000048);n=primepi(m);v=primes(n);w=vector(13);for(i=1,n,p=v[i];q=p+48;if(ispseudoprime(q),k=primepi(q)primepi(p);w[k]++;));for(i=1,13,print(i" "w[i]));print(sum(i=1,13,w[i]))for(i=1,13,print(i" "w[i]));print(sum(i=1,13,w[i])) 1 67 2 565 3 1636 4 2418 5 2360 6 1446 7 558 8 183 9 46 10 10 11 6 12 2 13 1 9298 ? Code:
? ok=0;m=nextprime(10^10);p=m;until(ok,m=nextprime(p+1);if(mp==48,ok=1;print(m),p=m));m=nextprime(10^10);p=m;ok=0;until(ok,m=nextprime(p+1);if(mp<48&&ispseudoprime(m+48),ok=1;print(p" "mp" "48),p=m)) 10000000391 10000000319 24 48 ? ok=0;m=nextprime(10^20);p=m;until(ok,m=nextprime(p+1);if(mp==48,ok=1;print(m),p=m));m=nextprime(10^20);p=m;ok=0;until(ok,m=nextprime(p+1);if(mp<48&&ispseudoprime(m+48),ok=1;print(p" "mp" "48),p=m)) 100000000000000000349 100000000000000000391 2 48 ? ok=0;m=nextprime(10^50);p=m;until(ok,m=nextprime(p+1);if(mp==48,ok=1;print(m),p=m));m=nextprime(10^50);p=m;ok=0;until(ok,m=nextprime(p+1);if(mp<48&&ispseudoprime(m+48),ok=1;print(p" "mp" "48),p=m)) 100000000000000000000000000000000000000000000001611 100000000000000000000000000000000000000000000001527 36 48 ? ok=0;m=nextprime(10^75);p=m;until(ok,m=nextprime(p+1);if(mp==48,ok=1;print(m),p=m));m=nextprime(10^75);p=m;ok=0;until(ok,m=nextprime(p+1);if(mp<48&&ispseudoprime(m+48),ok=1;print(p" "mp" "48),p=m)) 1000000000000000000000000000000000000000000000000000000000000000000000005221 1000000000000000000000000000000000000000000000000000000000000000000000039987 42 48 ? ok=0;m=nextprime(10^100);p=m;until(ok,m=nextprime(p+1);if(mp==48,ok=1;print(m),p=m));m=nextprime(10^100);p=m;ok=0;until(ok,m=nextprime(p+1);if(mp<48&&ispseudoprime(m+48),ok=1;print(p" "mp" "48),p=m)) 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000044589 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000109677 22 48 ? ok=0;m=nextprime(10^120);p=m;until(ok,m=nextprime(p+1);if(mp==48,ok=1;print(m),p=m));m=nextprime(10^120);p=m;ok=0;until(ok,m=nextprime(p+1);if(mp<48&&ispseudoprime(m+48),ok=1;print(p" "mp" "48),p=m)) 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001071 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000039873 46 48 ? ok=0;m=nextprime(10^200);p=m;until(ok,m=nextprime(p+1);if(mp==48,ok=1;print(m),p=m));m=nextprime(10^200);p=m;ok=0;until(ok,m=nextprime(p+1);if(mp<48&&ispseudoprime(m+48),ok=1;print(p" "mp" "48),p=m)) 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000187209 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001315933 8 48 Last fiddled with by Dr Sardonicus on 20220215 at 23:31 Reason: As indicated 

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