Those Fascinating Numbers 211
33 001
the fifth Ap´ ery number (see the number 1 445).
33 614
the first of the three smallest consecutive numbers each divisible by a fourth
power: 33 614 = 2 · 75, 33 615 = 34 · 5 · 83, 33 616 = 24 · 11 · 191 (see the number
1 375).
33 617
the smallest number n which allows the sum
i≤n
1
i
to exceed 11 (see the number
83).
34 183
the smallest number n requiring 11 iterations of the σI (n) function in order to
reach 1, yielding the sequence 34184, 4274, 2138, 1070, 648, 121, 133, 160, 6,
4, 1 (see the number 193).
34 560
the value of 1! · 2! · 3! · 4! · 5!.
34 688
the tenth dihedral perfect number (see the number 130).
34 790
the
23rd
number (and the largest one known) n such that n! 1 is prime: note
that the number 34 790! 1 is a 142 891 digit number (see the number 166).
35 308
the smallest number n such that ω(n) + ω(n + 1) + ω(n + 2) = 12: here
35 308 =
22
· 7 · 13 · 97, 35 309 = 17 · 31 · 67 and 35 310 = 2 · 3 · 5 · 11 · 107 (see
the number 2 210).
35 449
the 38th Lucas prime number (see the number 613).
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