[seqfan] Re: OEIS sequences needing factors
Neil Sloane
njasloane at gmail.com
Thu Mar 21 06:56:17 CET 2013
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
>>
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>>
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>>
>>
>
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--
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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