[seqfan] Re: OEIS sequences needing factors
Charles Greathouse
charles.greathouse at case.edu
Thu Mar 21 14:37:23 CET 2013
Maximilian created
https://oeis.org/wiki/OEIS_sequences_needing_factors
Charles Greathouse
Analyst/Programmer
Case Western Reserve University
On Thu, Mar 21, 2013 at 1:56 AM, Neil Sloane <njasloane at gmail.com> wrote:
> Yes, adding it to the OEIS wiki is a great idea - I'll look into finding
> the best place tomorrow
> Neil
>
> On Wed, Mar 20, 2013 at 8:43 PM, Sean A. Irvine <sairvin at xtra.co.nz>
> wrote:
>
> > I'm the author of this list, readers should feel free to email me
> directly
> > (sairvin at xtra.co.nz or sairvin at gmail.com) with new results or
> suggestions
> > for additions to this list. That way we can avoid cluttering up seqfan
> > mailing list with lots of little updates.
> >
> > I can post a summary of progress or new additions every couple of months.
> > Alternatively, perhaps it could just be added into the OEIS wiki
> somewhere.
> >
> > Sean.
> >
> >
> > On 03/21/13 13:31, Charles Greathouse wrote:
> >
> >> Mersenneforum.org is a discussion board for those interested in
> >> factorization and primality searches. I've seen the above-titled thread
> >> pop
> >> up a few times and I thought I would advertise it here. It comes with
> the
> >> comment:
> >>
> >> **
> >> Please check with corresponding OEIS entry and with factordb.com to
> make
> >> sure number still needed before embarking on a significant effort.
> >> **
> >>
> >> Here's the list they have now. If you have suggestions for other
> sequences
> >> needing nontrivial factors, feel free to post there or reply here.
> >>
> >> id size description known ecm effort
> >> ------------------------------**------------------------------**
> >> --------------------
> >> A000945 C335 EuclidMullin52 7557 at 43e6
> >> A000946 C332 A000946(15) 1000 at 1m
> ,192 at 85e7
> >> A005265 C367 4590 at 11e6
> >> A005266 C211 7771 at 43e6
> >> A037274 C210 HP49(117) 132 at 85e7[likely
> >> more]
> >> A048986 C142 HP[2]2295 4590 at 11e6
> >> A046461 C1252 * Sm(1051) 1000 at 1e6
> >> A051308 C347 EuclidMullin[5]58 7771 at 43e6
> >> A051309 C315 EuclidMullin[11]56 7771 at 43e6
> >> A051334 C328 EuclidMullin[8191]60 4590 at 11e6
> >> A051335 C564 EuclidMullin[127]66 1000 at 1e6
> >> A056756 C335 * EuclidMullin52 7557 at 43e6
> >> A063684 C187 * 114!+1 17900 at 11e7
> >> ,20084 at 85e7
> >> A072288 Cbig * 10^(10^100)+2, need factor > 16
> >> A076670 Cbig * (10^9)^(10^9)+1
> >> A078778 C187 * 114!+1 17900 at 11e7
> >> ,20084 at 85e7
> >> A078781 C265 * 151!-1 17900 at 11e7
> >> A078814 Cbig * 10^(10^100)-7, need factor > 16
> >> A080802 C265 151!-1 17900 at 11e7
> >> A080892 C241 * 3^505-2 4590 at 11e6
> >> A081715 C246 * 3^514+2 4590 at 11e6
> >> A082869 C286 * 3^599-2^599 4590 at 11e6
> >> A085745 C373 * 2^1239+1239 7771 at 43e6
> >> A085747 C158 100!+179 4590 at 11e6
> >> A087021 C242,C271 * 10^646-1
> >> A096225 C106520655 * 15750503!+1
> >> A093782 C429 * EuclidMullin[8581]31 4590 at 11e6
> >> A094152 C398 EuclidMullin[32687]51 1000 at 1e6
> >> A095194 C163 10*102!+1 4600 at 11e6
> >> A098594 C1038 * 464!+1 or C1038 464!-1 1000 at 1e6
> ,10 at 11e6on
> >> both[NEW PROGRESS]
> >> A099954 C377 * F(1801) [F^R(1801) is semiprime] 15000 at 11e7
> >> A100013 C154 105!+7 4590 at 1e6
> >> A101757 C288 * Tribonacci(1091) 4590 at 11e6
> >> A102050 C16385 * 10^(2^14)+1 200 at 1e6
> >> A109757 C414 * tens_complement_factorial(191)**+1
> >> A109758 C183 * tens_complement_factorial(112)**-1 4590 at 11e6
> >> A113773 C285 * 4590 at 11e6
> >> A113913 C318 * 3^(3^7)+1 1000 at 1e6
> ,200 at 11e6
> >> A115101 C387 * L(2602) 7771 at 43e6
> >> A115973 C214 * 137^137+1 1000 at 1e6
> >> A122119 C716 * 2^(2^10)+5^(2^10) 100 at 10000
> >> A125037 C2117 1000 at 1e6
> >> A125038 C1164 * 1000 at 1e6
> >> A125039 C160 * 4590 at 11e6
> >> A125040 C593 * 1000 at 1e6
> >> A125041 C160 * 4590 at 11e6
> >> A125042 C193 * 4590 at 11e6
> >> A125043 C1766 * 1000 at 1e6
> >> A125044 C2995 1000 at 1e6[need
> to
> >> confirm smallest before moving on]
> >> A125045 C347 * 4590 at 11e6
> >> A130139 C364 * 4590 at 11e6
> >> A130140 C36562 * 100 at 10000
> >> A130141 C235 * 4590 at 11e6
> >> A153357 C148 * Wol(347) 4590 at 11e6
> >> A165767 C202 * 2^669-669 7771 at 43e6
> >> A177892 C241 * 4590 at 11e6
> >> A181186 C162 (2^101-1)*101!+1 1000 at 1e6
> >> A181764 C187 * 114!+1 17900 at 11e7
> >> ,20084 at 85e7
> >> A185121 C16385 * 10^(2^14)+1 200 at 1e6
> >> A195264 C156 * Alonso20(102) 4600 at 11e6
> >> A199295 C15151336 * 8^(8^8)+1
> >> A200918 C479894 * (3^1006003-3)/1006003^2 2 at 1000,1 at 2000
> >> ,1 at 5000
> >> ,1 at 10000
> >>
> >> http://mersenneforum.org/**showthread.php?t=14265&page=3<
> http://mersenneforum.org/showthread.php?t=14265&page=3>
> >>
> >> Charles Greathouse
> >> Analyst/Programmer
> >> Case Western Reserve University
> >>
> >> ______________________________**_________________
> >>
> >> Seqfan Mailing list - http://list.seqfan.eu/
> >>
> >>
> >
> > ______________________________**_________________
> >
> > Seqfan Mailing list - http://list.seqfan.eu/
> >
>
>
>
> --
> Dear Friends, I have now retired from AT&T. New coordinates:
>
> Neil J. A. Sloane, President, OEIS Foundation
> 11 South Adelaide Avenue, Highland Park, NJ 08904, USA
> Phone: 732 828 6098; home page: http://NeilSloane.com
> Email: njasloane at gmail.com
>
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