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3511

From Wikipedia, the free encyclopedia
Natural number
← 351035113512 →
Cardinalthree thousand five hundred eleven
Ordinal3511th
(three thousand five hundred eleventh)
Factorizationprime
PrimeYes
Divisors1, 3511
Greek numeral,ΓΦΙΑ´
Roman numeralMMMDXI,mmmdxi
Binary1101101101112
Ternary112110013
Senary241316
Octal66678
Duodecimal204712
HexadecimalDB716

3511 (three thousand, five hundred and eleven) is thenatural number following 3510 and preceding 3512.

3511 is aprime number, and is also anemirp: a different prime when itsdigits are reversed.[1]

3511 is aWieferich prime,[2] found to be so byN. G. W. H. Beeger in 1922[3] and the largest known[4] – the only other being1093.[5] If any other Wieferich primes exist, they must be greater than 6.7×1015.[4]

3511 is the 27thcentered decagonal number.[6]

References

[edit]
  1. ^Weisstein, Eric W."Emirp".MathWorld.
  2. ^The Prime Glossary: Wieferich prime
  3. ^Beeger, N. G. W. H. (1922),"On a new case of the congruence 2p − 1 ≡ 1 (p2)",Messenger of Mathematics,51:149–150, archived fromthe original on 2012-11-11
  4. ^abDorais, F. G.; Klyve, D. (2011)."A Wieferich Prime Search Up to 6.7×1015"(PDF).Journal of Integer Sequences.14 (9).Zbl 1278.11003. Retrieved2011-10-23.
  5. ^Meissner, W. (1913), "Über die Teilbarkeit von 2p − 2 durch das Quadrat der Primzahlp=1093",Sitzungsber. D. Königl. Preuss. Akad. D. Wiss. (in German), Zweiter Halbband. Juli bis Dezember, Berlin:663–667
  6. ^"Sloane's A062786 : Centered 10-gonal numbers".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-06-03.


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