Fibonacci Numbers

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richie
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28 May 2008, 8:19 pm

2880067194370816120

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Alaspi
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28 May 2008, 9:09 pm

4 660 046 610 375 530 309

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richie
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Joined: 9 Jan 2007
Age: 67
Gender: Male
Posts: 30,142
Location: Lake Whoop-Dee-Doo, Pennsylvania

29 May 2008, 2:21 pm

7540113804746346429
7 540113 804746 346429 = 3 x 139 x 461 x 4969 x 28657 x 275449

Number of divisors: 64

Sum of divisors: 10 150210 439070 240000

Euler's Totient: 4 978559 395870 064640

Moebius: 1

Sum of squares: a^2 + b^2 + c^2
a = 2299 971272
b = 1500 081982
c = 11

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richie
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Joined: 9 Jan 2007
Age: 67
Gender: Male
Posts: 30,142
Location: Lake Whoop-Dee-Doo, Pennsylvania

29 May 2008, 2:57 pm

12200160415121876738
12 200160 415121 876738 = 2 x 557 x 2417 x 4 531100 550901

Number of divisors: 16

Sum of divisors: 18 340680 695103 654264

Euler's Totient: 6 086609 245621 766400

Moebius: 1

Sum of squares: a^2 + b^2
a = 2971 213853
b = 1836 313877

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ThunderShade
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Joined: 14 Mar 2008
Age: 31
Gender: Male
Posts: 41

29 May 2008, 4:24 pm

19 740 274 219 868 223 167

richie
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Joined: 9 Jan 2007
Age: 67
Gender: Male
Posts: 30,142
Location: Lake Whoop-Dee-Doo, Pennsylvania

29 May 2008, 4:31 pm

31940434634990099905
31 940434 634990 099905 = 5 x 37 x 113 x 761 x 29641 x 67 735001

Number of divisors: 64

Sum of divisors: 39 766312 456509 692736

Euler's Totient: 24 608516 954112 000000

Moebius: 1

Sum of squares: a^2 + b^2
a = 4945 207652
b = 2735 937849

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Xelebes
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29 May 2008, 5:29 pm

96th Fibonacci Number: 51 680 708 854 858 323 072

richie
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Age: 67
Gender: Male
Posts: 30,142
Location: Lake Whoop-Dee-Doo, Pennsylvania

29 May 2008, 5:41 pm

83621143489848422977
83 621143 489848 422977 = 193 x 389 x 3 084989 x 361 040209

Number of divisors: 16

Sum of divisors: 84 270519 397308 114000

Sum of squares: a^2 + b^2
a = 7778 742049
b = 4807 526976

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Xelebes
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29 May 2008, 7:09 pm

98th Fibonacci Number: 135 301 852 344 706 746 049

richie
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Joined: 9 Jan 2007
Age: 67
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Posts: 30,142
Location: Lake Whoop-Dee-Doo, Pennsylvania

29 May 2008, 7:50 pm

218922995834555169026
218 922995 834555 169026 = 2 x 17 x 89* x 197 x 19801 x 18546 805133

Number of divisors: 64

Sum of divisors: 353 410643 397329 987040

Euler's Totient: 101 342829 429621 964800

Moebius: 1

Sum of squares: a^2 + b^2
a = 13504 008515
b = 6046 879349
*89 Is a Fibonacci Prime with other properties

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Xelebes
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29 May 2008, 9:31 pm

100th Fibonacci Number: 354 224 848 179 261 915 075

richie
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Joined: 9 Jan 2007
Age: 67
Gender: Male
Posts: 30,142
Location: Lake Whoop-Dee-Doo, Pennsylvania

30 May 2008, 3:23 am

573147844013817084101

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Xelebes
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Age: 41
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30 May 2008, 12:54 pm

927 372 692 193 078 999 176

richie
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Joined: 9 Jan 2007
Age: 67
Gender: Male
Posts: 30,142
Location: Lake Whoop-Dee-Doo, Pennsylvania

30 May 2008, 2:18 pm

1500520536206896083277
1500 520536 206896 083277 = 519121 x 5 644193 x 512 119709

Number of divisors: 8 (A Fibonacci number)

Sum of divisors: 1500 523695 492005 636280

Euler's Totient: 1500 517376 922823 096320

Moebius: -1

Sum of squares: a^2 + b^2
a = 32951 280099
b = 20365 011074

_________________
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Xelebes
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30 May 2008, 3:54 pm

104th Fibonacci Number: 2 427 893 228 399 975 082 453

richie
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Joined: 9 Jan 2007
Age: 67
Gender: Male
Posts: 30,142
Location: Lake Whoop-Dee-Doo, Pennsylvania

30 May 2008, 6:32 pm

3928413764606871165730
3928 413764 606871 165730 = 2 x 5 x 13 x 61* x 421* x 141961 x 8288 823481
* A prime in the Primes of the form n²+n+41 sequence....

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