factordb · sequences

Sequence

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Inverse home prime · Base 33 of 123 length 13 Not fully computed yet - the last known term is composite. ↓ .elf file

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Term size (digits) across the sequence — How the sequence develops - decimal digits of each term vs iteration.

n	Status	Digits	Term	Factorization
0	Fully factored	3	123	3×41
1	Fully factored	4	1356	2²×3×113
2	Fully factored	7	4064216	2³×13×39079
3	Fully factored	11	46345076186<11>	2×79×1013×289559
4	Fully factored	14	1133204166…77<14>	17×46309×14394409
5	Fully factored	15	5633308547…51<15>	17×31×1068939003…13<13>
6	Fully factored	16	1164074574…97<16>	7×97×1714395544…43<13>
7	Fully factored	17	6161023267…99<17>	16811×3664876133…09<13>
8	Fully factored	18	1317046536…44<18>	2³×43×457×557×1504081199<10>
9	Fully factored	23	6980664113…74<23>	2×3490332056…87<23>
10	Fully factored	25	1151809578…73<25>	1637×2971×204744803×1156688633<10>
11	Fully factored	28	1929228843…84<28>	2²×1733×3727×20887×3575112666…63<16>
12	Composite	33	1806937251…54<33>	2×3257×2773928848…61<29>
↳	Open Open - the last known term is composite and not yet fully factored.

Open end - submit a factor of the remaining composite (29 digits) of term #12:

27739288485253192322199769661

Check for factors - let the server run a small P-1 / P+1 / ECM step on the composite:

From the command linefdb · curl

fdb

fdb seq view '123' --type 83 --part last20

curl

curl -s 'https://factordb.com:4059/rpc' -H 'Content-Type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"sequence_view","params":{"start":{"expr":"123"},"type":83,"part":"last20","fr":0}}'