292 Jean-Marie De Koninck
6 449 639
the smallest number n such that β(n) β(n + 1) . . . β(n + 10): here
302 838 1751 13624 23151 27390 67915 153575 379408
403105 2149886 (see the number 714);
the smallest number n such that P (n) P (n + 1) . . . P (n + 10): here
109 757 1283 13381 23117 27329 67891 153563 379391
403103 2149883 (see the number 46 189).
6 700 417
the largest prime factor of the Fermat number F5 =
225
+ 1 = 641 · 6 700 417.
6 811 195
the fifth solution of σ2(n) = σ2(n + 10) (see the number 120).
6 954 793
the number of Niven numbers 108 (see the number 213).
6 972 593
the exponent of the 38th Mersenne prime 26 972 593 1 discovered by Nayan
Hajratwala in 1999 using the programme developed by G. Woltman (see the
number 1 398 269).
7 087 261
the ninth horse number (see the number 13).
7 109 376
the largest seven digit automorphic number:
7 109
3762
= 50 543 227 109 376
(see the number 76).
7 392 171
the smallest number n such that τ (n) τ (n + 1) . . . τ (n + 6): here
4 6 8 12 16 20 48.
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