Those Fascinating Numbers 233
91 380
the smallest number n which allows the sum
i≤n
1
i
to exceed 12.
92 274
the seventh number n such that each of the numbers n + i, i = 0, 1, 2, . . . , 16,
has a factor in common with the product of the other 16 (see the number 2 184).
92 378
the smallest number n such that ω(n) + ω(n + 1) + ω(n + 2) = 13: here
92 378 = 2 · 11 · 13 · 17 · 19, 92 379 = 3 · 7 · 53 · 83 and 92 380 =
22
· 5 · 31 · 149
(see the number 2 210).
92 727
one of the seven numbers which can be written as the sum of the fifth powers
of its digits: 92 727 =
95
+
25
+
75
+
25
+
75
(see the number 4 150).
93 084
one of the seven numbers which can be written as the sum of the fifth powers
of its digits: 93 084 =
95
+
35
+
05
+
85
+
45
(see the number 4 150).
93 527
the second composite number n such that
2n−2
1 (mod n) (see the number
20 737).
95 220
the tenth number n such that σ(n) and σ2(n) have the same prime factors,
namely the primes 2, 3, 7, 13 and 79 (see the number 180).
95 428
the number of Niven numbers 106 (see the number 213).
95 800
the first member of the first 4-tuple (x, y, z, t), such that x4 + y4 + z4 = t4: here
x = 95 800, y = 217 519, z = 414 560 and t = 422 481 (Elkies, 1988).
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