Those Fascinating Numbers 367

2 760 723 662 941

• the 100 000 000

000th

prime power, in fact here a prime (see the number 419).

2 760 727 302 517

• the 100 000 000 000th prime number (see the number 541).

2 858 876 213 963

• the number of 14 digit prime numbers.

3 204 941 750 802

• the number of prime numbers 1014.

3 518 958 160 000

• the second 3-powerful number which can be written as the sum of two co-prime

3-powerful numbers; here

3 518 958 160 000 =

27

·

54

·

3533

=

34

·

293

·

893

+

73

·

113

·

1673

(see the number 776 151 559).

3 756 092 613 546 (= 2 · 3 · 7 · 13 · 23 · 47 · 113 · 199 · 283)

• the

16th

ideal number (see the number 390).

4 231 525 221 377

• the eighth number having two representations as the sum of two co-prime fourth

powers:

4 231 525 221 377 =

13814

+

8784

=

13424

+

9974

(see the number 635 318 657).

4 737 417 786 721

• the fourth powerful number which can be written as the sum of two co-prime

4-powerful numbers: here

4 737 417 786 721 =

172

·

1280332

=

74

·

1674

+

25

·

34

·

54

·

116

(see the number 12 769).