97 is a Prime Number,
Sexy Prime (Primes p such that p + 6 is also prime)
1/97=.010309278350515463917525773195876288659793814432989690721649484536082474226804123711340206185567
010309278350515463917525773195876288659793814432989690721649484536082474226804123711340206185567
010309278350515463917525773195876288659793814432989690721649484536082474226804123711340206185567
97 = 1 + 2 + 3 + 4 × 5 + 6 + 7 × 8 + 9
97 = 9 + 8 × 7 + 6 + 5 × 4 + 3 + 2 + 1
97 = 0^5 − 1^9 − 2^7 − 3^8 + 4^6 + 5^0 + 6^3 + 7^4 + 8^2 + 9^1
97 = 111 − 11 − 1 − 1 − 1
= 2 × 2 × (22 + 2) + 2/2
= 3 × 33 − 3 + 3/3
= 4 × 4 + (4 − 4/4)4
= 55 + 5 + 5 + ((5 + 5)/5)5
= 66 + 6 × 6 − 6 + 6/6
= 7 × (7 + 7) − 7/7
= 88 + 8 + 8/8
= 99 − (9 + 9)/9
97 = 4^2 + 9^2
\( 97^2 = 65^2 + 72^2 \)
Number of fractions in Farey series of order 17 : 0/1, 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, 2/7, 5/17, 3/10, 4/13, 5/16, 1/3, 6/17, 5/14, 4/11, 3/8, 5/13, 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, 8/13, 5/8, 7/11, 9/14, 11/17, 2/3, 11/16, 9/13, 7/10, 12/17, 5/7, 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, 1/1
Prime number spiral (clockwise, Northwest spoke). 227 101--103--107--109--113--127 | | | 223 97 29---31---37---41 131 | | | | | 211 89 23 3----5 43 137 | | | | | | | 199 83 19 2 7 47 139 | | | | | | 197 79 17---13---11 53 149 | | | | 193 73---71---67---61---59 151 | | 191--181--179--173--167--163--157
Number that is the sum of 4 positive 5th powers.
a(n) = 10^n - 3, n = 2
Quartan prime: primes of the form x^4 + y^4, × > 0, y > 0.
Initial member of prime 5-tuples (p, p+4, p+6, p+10, p+12).
Prime of the form k^2 + k + 41
Emirp , 79 is also Prime
Factors: 1, 97
Representations, Binary to Hexadecimal:
1100001_2
10121_3
1201_4
342_5
241_6
166_7
141_8
117_9
89_11
81_12
76_13
6d_14
67_15
61_16
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