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103 is a Prime Number, Prime(27)

Sexy Prime (Primes p such that p + 6 is also prime)

103 = 1 × 2 × 34 + 5 + 6 + 7 + 8 + 9

103 = 9 + 8 + 7 × 6 + 5 × 4 + 3 + 21

103 = 0^1 + 1^9 + 2^6 + 3^7 − 4^8 + 5^2 + 6^3 + 7^0 + 8^4 + 9^5

103 = (11 − 1)(1+1) + 1 + 1 + 1

= 2 + 2222/22

= 3 + 3 × 33 + 3/3

= 444/4 − 4 − 4

= 5 × (5 × 5 − 5) + 5 − (5 + 5)/5

= 66 + 6 × 6 + 6/6

= (777 − 7)/7 − 7

= (888 − 8 × 8)/8

= (999 + 9)/9 − 9

Number of fractions in Farey series of order 18 : 0/1, 1/18, 1/17, 1/16, 1/15, 1/14, 1/13, 1/12, 1/11, 1/10, 1/9, 2/17, 1/8, 2/15, 1/7, 2/13, 1/6, 3/17, 2/11, 3/16, 1/5, 3/14, 2/9, 3/13, 4/17, 1/4, 4/15, 3/11, 5/18, 2/7, 5/17, 3/10, 4/13, 5/16, 1/3, 6/17, 5/14, 4/11, 3/8, 5/13, 7/18, 2/5, 7/17, 5/12, 3/7, 7/16, 4/9, 5/11, 6/13, 7/15, 8/17, 1/2, 9/17, 8/15, 7/13, 6/11, 5/9, 9/16, 4/7, 7/12, 10/17, 3/5, 11/18, 8/13, 5/8, 7/11, 9/14, 11/17, 2/3, 11/16, 9/13, 7/10, 12/17, 5/7, 13/18, 8/11, 11/15, 3/4, 13/17, 10/13, 7/9, 11/14, 4/5, 13/16, 9/11, 14/17, 5/6, 11/13, 6/7, 13/15, 7/8, 15/17, 8/9, 9/10, 10/11, 11/12, 12/13, 13/14, 14/15, 15/16, 16/17, 17/18, 1/1

Numbers k such that (8*10^k + 49)/3 is prime.

103 is an irregular prime, since it divides the numerator of the Bernoulli number B24

103 cannot be written as a sum of 3 squares. (Integers that are not a sum of three squares)

Factors: 1, 103

One hundred three

Representations, Binary to Hexadecimal:

1100111_2
10211_3
1213_4
403_5
251_6
205_7
147_8
124_9
94_11
87_12
7c_13
75_14
6d_15
67_16

102 <--- ---> 104

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