|
|
A329240
|
|
Numbers that are both Fermat pseudoprimes to base 2 (A001567) and Bruckman-Lucas pseudoprimes (A005845).
|
|
1
|
|
|
2465, 219781, 228241, 252601, 399001, 512461, 722261, 741751, 852841, 1024651, 1193221, 1533601, 1690501, 1735841, 1857241, 1909001, 2100901, 2165801, 2531845, 2603381, 2704801, 2757241, 3568661, 3828001, 4504501, 5049001, 5148001, 5481451, 6189121, 6368689, 6840001
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Van der Poel calculated the 215 terms below 6*10^8.
Van Zijl published the terms between 10^7 and 10^8.
These numbers were named "Van der Poel numbers" by Herman J. A. Duparc (1918-2002).
|
|
REFERENCES
|
R. F. van Zijl, De getallen van Van der Poel (in Dutch), Master's thesis, Afstudeerverslag TU Delft, 1968.
|
|
LINKS
|
Erik Lieuwens, Fermat pseudo primes, Doctoral Thesis, Delft University of Technology, 1971, pp. 29-30.
|
|
MATHEMATICA
|
Select[Range[10^6], CompositeQ[#] && PowerMod[2, # - 1, #] == 1 && Divisible[LucasL[#] - 1, #] &]
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|