376 Jean-Marie De Koninck
511 643 454 094 368
the 25th powerful number n such that n + 1 is also powerful: here
511 643 454 094 368 =
25
·
32
·
192
·
292
·
412
·
592
511 643 454 094 369 =
172
·
2412
·
55212
(see the number 288).
999 999 999 999 989
the largest 15 digit prime number.
1 000 000 000 000 037
the smallest 16 digit prime number.
1 111 111 111 114 112
the
38th
insolite number (see the number 111).
1 238 926 361 552 897
the smallest prime factor of the Fermat number F8 =
228
+ 1, whose complete
factorization is given by
F8 = 1238926361552897
·93461639715357977769163558199606896584051237541638188580280321.
1 436 697 831 295 441 (= 11 · 13 · 19 · 29 · 31 · 37 · 41 · 43 · 71 · 127)
the smallest Carmichael number which is the product of ten prime numbers
(see the number 41 041).
2 056 364 173 794 800
the smallest number which can be written as the sum of four seventh powers
in two distinct ways, namely
2 056 364 173 794 800 =
107
+
147
+
1237
+
1497
=
157
+
907
+
1297
+
1467.
2 125 390 162 618 116 (=
22
·
32
·
4912
·
156492)
the 100 000
000th
powerful number (see the number 3 136).
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