20210127, 16:13  #1 
Jun 2009
1010111000_{2} Posts 
First titanic septuplet
Hi folks,
Code:
6527857976181824068992954643835694152758237019621735794948630093353336346444314578259582354585710855994307682737795442832125943401558879429194267031660381989716139241076371879146441315760418319872828561352677668767 1053723486511718558339089252445263773938186288150981580244335287683233068859938146588878476184881280868412424826182271496440436727784955105445771221485902895990027424280489401038701236414000872718491439818091469396 7304022822631528546780463820548491458411079145254080730147373094640929014344061934952856686212476868492409708996478326911807622536628173799515250408676132841379612953085777057056143813041528304824344397034074951630 7849117807594366497569182520540434297558948186914404301799722681684515676195709095022274970314090528557131542557895182774819105217442760710517443049165534373742055263087492019855106882576413414056168714720625018176 8437441603278644196375616672481894410777389981443144241700543513545788015856486646285507126439158806149011698515665493114050189281 +1984419776555481* (779335438037760160496591507183907769655856062999157556185939042593867827082091682481915363252420707043997349878578830309827188551771729543839005051107813891838035145375992949256064827070099991791479702094701476704 981442982291994293141771303874449576320219094208869801645463893226762267578243532564011056079611811860250461944113550775186726229991886965067672281675661441566894667464674398174394287003279554694237312956499172449 231931403376943570561885941668250654443056598233820766743806885392135242023171851812491738030323595846283298894505608970091375282873125077679924289474552940063830695017245881769845421776462807174597476947220731806 896503488271568278727091992063681108887922290146260410039855596704571630002796908632898154383539527668412881349229422969207362850867073216433419806135035650097846083962056375611351006095997577879489878679184413085 16512423315733977854074167299139642606490536607385570837818017825394467317266921734988640613075687125125595165728201546828770680483130)+d with d=0, 2, 6, 8, 12, 18, 20 should be the first known septuplet with more than 1000 decimal digits. I did not find a shorter way to describe the numbers. Last fiddled with by VBCurtis on 20210127 at 16:28 Reason: VBCurtis: added code tags 
20210127, 17:38  #2 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
2665_{16} Posts 

20210127, 17:59  #3 
Jun 2009
2^{3}·3·29 Posts 
Thanks!
How do you find the short description? Last fiddled with by PuzzlePeter on 20210127 at 17:59 
20210127, 18:23  #4 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
9,829 Posts 
You do a few gcd()'s of the base number + 100 or so, with the usual suspects (primorials, I took a guess that it would be based around 2341#), and then cancel unneeded terms.
Did you use rieMiner or something like it? You should submit to UTM. 1000 digits  and you are in :) 
20210127, 19:07  #5 
Jun 2009
2^{3}·3·29 Posts 
I'll give it a better try next time. Chris Caldwell does not like unnecessarily long descriptions.
I used a tweaked version of Robert Gerbicz' Polysieve for sieving and PFGW for testing. Primo for the final certification. 
20210127, 19:11  #6 
Dec 2008
you know...around...
2^{2}·11·17 Posts 
Contfracs on p/q# with q# ~ p should also work wonders in finding a shorter representation.
Congrats on the titanic septuplet! Does anyone have an ETA on the first 24tuplet? Last fiddled with by mart_r on 20210127 at 19:14 
20210131, 08:36  #7 
Jan 2007
Germany
111011110_{2} Posts 
Herzlichen Glückwunsch , lieber Peter !!!
Wahnsinn, da kam er doch noch relativ vorzeitig ! 
20210131, 09:26  #8  
Jun 2015
Vallejo, CA/.
1,097 Posts 
Quote:
Ahh! Congratulations BTW. 

20210131, 09:30  #9 
Jun 2015
Vallejo, CA/.
1,097 Posts 
12 12 2121 @12:21 GMT (I meant Titanic 24tuplet)
Last fiddled with by rudy235 on 20210131 at 09:32 
20210201, 17:40  #10 
Jun 2009
2^{3}·3·29 Posts 

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