Broken aliquot sequences

fivemack · 2014-10-05, 14:07

Code:

228504 - next element is 115002363456781951116353025432393722069665825524716257351967573745719336629908761109140183558732708396906923367555454

706104 - next element is 41056247340555352160404327938385124070914568373289825909365899066462655085280970624745514385381813768355098498287234724

Dubslow · 2014-10-05, 18:38

This is the list of broken sequences in my current script. Format is {seq: (next-good-term, said-term's-index)}.

Code:

broken = {319860: (2825523558447041736665230216235917892232717165769067317116537
832686621082273062400083298623866666431871912457614030538, 1072),
          270870: (1291110518948762980086184521745721113860843218383951061593525
26283699001422613851356969918762669577402931599473069044, 1552),
          337344: (1718418747094677774071372105197247457771552131180506064111375
96612474196944001558441112921996396264019339265486232710, 867),
          706104: (4105624734055535216040432793838512407091456837328982590936589
9066462655085280970624745514385381813768355098498287234724, 938),
          228504: (1150023634567819511163530254323937220696658255247162573519675
73745719336629908761109140183558732708396906923367555454, 1601)}

LaurV · 2014-10-06, 16:11

In fact, 337344 is broken a bit earlier, at 844, the continuation is:

Code:

843 .   13800710012818721686377176836950658029521999323673558068277408603214085787406348518457980786865144935482284469457238 = 2 * 3 * 17 * 2791 * 96448058774965644508235918713 * 502629450036802409831645837403502556245707353065795279268876677110360723970834343
844 .   15434794124606939665049526605837437264723911427275235389652798604877119402557306555686183210411478357525058173971114 = 2 * 3 * 14153673515319725928119989 * 181752510021521360083467530953812952249675148335119350446690716024589031293302626961653771
845 .   15434794124606939665049528786867557522980232428885606835408225600978899423989511915974775675323936060993292851256246 = 2 * 3 * 523 * 4918672442513365094024706433036187865831814030874954377121805481510165527083974479278131190351796067875491667067
846 .   15493818193917100046177825264063991777370214197256106287933687266757021410314519609726113249608157613807798751267338 = 2 * 3 * 47 * 59 * 2957 * 480760091966766385693 * 655054752029921267545111452991317127234487207332879489777737319576139870792897264338451

(edit, just for the sake of having all the terms :P)

unconnected · 2014-10-06, 16:58

305460 also broken.
+327852
+322686

Dubslow · 2014-10-06, 21:42

Quote:

Originally Posted by LaurV

In fact, 337344 is broken a bit earlier, at 844, the continuation is:

(edit, just for the sake of having all the terms :P)

I mean... my script doesn't really care about any intermediate terms :P

Quote:

Originally Posted by unconnected

305460 also broken.
+327852
+322686

I don't suppose you'd be willing to post correct indices for these?

LaurV · 2014-10-07, 01:29

Quote:

Originally Posted by Dubslow

I don't suppose you'd be willing to post correct indices for these?

I have them in full, let me get back home (just arrived at work :D)

LaurV · 2014-10-07, 13:11

In your format:

Code:

305460: (153930603295623579438311517767087301544108450139577880157761944822979334442803898050679690506918213552493053494172082, 1278)
322686: (302926126903899986879677895288088736941245823142759900740695496639749231035725570564906453951622576176253465079992650, 688)
327852: (686850216844208461856962371309231689049988200182761949020962964975366230549349069889648461306631311470409163996946786, 1251)

Dubslow · 2014-10-08, 00:18

Quote:

Originally Posted by LaurV

In your format:

Code:

305460: (153930603295623579438311517767087301544108450139577880157761944822979334442803898050679690506918213552493053494172082, 1278)
322686: (302926126903899986879677895288088736941245823142759900740695496639749231035725570564906453951622576176253465079992650, 688)
327852: (686850216844208461856962371309231689049988200182761949020962964975366230549349069889648461306631311470409163996946786, 1251)

Thanks, though out of frustration I changed the format to reverse the new term and index.

Code:

{319860: (1072, 2825523558447041736665230216235917892232717165769067317116537832686621082273062400083298623866666431871912457614030538),
270870: (1552, 129111051894876298008618452174572111386084321838395106159352526283699001422613851356969918762669577402931599473069044),
337344: (867, 171841874709467777407137210519724745777155213118050606411137596612474196944001558441112921996396264019339265486232710),
706104: (938, 41056247340555352160404327938385124070914568373289825909365899066462655085280970624745514385381813768355098498287234724),
228504: (1601, 115002363456781951116353025432393722069665825524716257351967573745719336629908761109140183558732708396906923367555454),
305460: (1278, 153930603295623579438311517767087301544108450139577880157761944822979334442803898050679690506918213552493053494172082),
322686: (688, 302926126903899986879677895288088736941245823142759900740695496639749231035725570564906453951622576176253465079992650),
327852: (1251, 686850216844208461856962371309231689049988200182761949020962964975366230549349069889648461306631311470409163996946786)
}

fivemack · 2014-10-27, 00:09

296886 also broken: i1307 should be

Code:

929613060469964142613395787623511040369650794668964528799792248592927016853533671095941458486258918363963289280347604

Drdmitry · 2016-06-07, 12:20

Something wrong happened with the sequence 12012

henryzz · 2016-06-07, 12:54

Quote:

Originally Posted by Drdmitry

Something wrong happened with the sequence 12012

The database has moved server today. This may be a result of that.

2014-10-06, 16:58	#4
unconnected May 2009 Russia, Moscow 13·199 Posts	305460 also broken. +327852 +322686 Last fiddled with by unconnected on 2014-10-06 at 16:59 Reason: 2 more seqs

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2014-10-27, 00:09	#9
fivemack (loop (#_fork)) Feb 2006 Cambridge, England 1100100010011₂ Posts	296886 also broken: i1307 should be Code: 929613060469964142613395787623511040369650794668964528799792248592927016853533671095941458486258918363963289280347604

2016-06-07, 12:20	#10
Drdmitry Nov 2011 3·83 Posts	Something wrong happened with the sequence 12012