Today is 19 day of the year.
19 is prime.
19 is a happy number.
19 is the fifth member of Flavius Josephus' sieve.
19 is a member of the primitive, Pythagorean triple (19, 80,81)
19 is the smallest prime whose reversal is composite.
19 is strictly non-palindromic as can be seen from its representation in different bases:
2: 10011
3: 201 - In base 3 all digits are used, i.e. 19 is pandigital in base 3.
4: 103
5: 34
6: 31
7: 25
8: 23
9: 21
10: 19
11: 18
12: 17
13: 16
14: 15
15: 14
16: 13
17: 12
19 is the largest prime, p, that is pandigital in some base b > 1 and b < p - 1.
No comments:
Post a Comment