Sunday 15 January 2012

Sunday, 15 January 2012

Today is 15 day of the year.
15 = 3 x 5
15 = 2^0 + 2^1 + 2^2 + 2^3 = 2^4 -1
15 is a triangular number.
15 = 3 + 5 + 7, i.e. the sum of 3 consecutive prime numbers.
15 is the fourth cake number.
15 is a member of the primitive, Pythagorean triple (8, 15, 17).
15 is the fifth Toothpick number.
15 is the smallest emirpimes.
15 is a lucky number.
15 is the fourth Bell number.
15 is the number of distinct rhyme schemes for a poem of 4 lines.
The 15 rhyme schemes are:
aaaa
aaab
aaba
aabb
aabc
abaa
abab
abac
abba
abbb
abbc
abca
abcb
abcc
abcd

15 is the number of moves required to solve the frogs and toads game with 3 of each.
The moves are:
FFF_TTT
FFFT_TT - Slide T3
FF_TFTT - Jump F3
F_FTFTT - Slide F2
FTF_FTT - Jump T3
FTFTF_T - Jump T2
FTFTFT_ - Slide T1
FTFT_TF - Jump F3
FT_TFTF - Jump F2
_TFTFTF - Jump F1
T_FTFTF - Slide T3
TTF_FTF - Jump T2
TTFTF_F - Jump T1
TTFT_FF - Slide F2
TT_TFFF - Jump F1
TTT_FFF - Slide T3








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