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Evelyn Adler... for Seymore Shankland, please. And what I want you to notice, is that when youcompute P of N... for N congruentto four mod five... the answeris a multiple of five. So, the first personto notice this was Srinivasa Ramanujan. In the beginningof the 20th century... he proved thatit was the case for all... numbers congruentto four mod five. So, he provedthat P of five N plus four... is congruentto zero mod seven... and that P of eleven Nplus six is congruentto zero mod eleven
Full Transcript
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Evelyn Adler
00:00:03.052 --> 00:00:05.431
for Seymore Shankland please
00:00:07.048 --> 00:00:08.736
And what I want you to notice
00:00:08.076 --> 00:00:10.193
is that when you compute P of N
00:00:10.036 --> 00:00:12.271
for N congruent to four mod five
00:00:12.044 --> 00:00:15.159
the answer is a multiple of five
00:00:15.032 --> 00:00:17.197
So the first person to notice this
00:00:17.028 --> 00:00:18.395
was Srinivasa Ramanujan
00:00:18.056 --> 00:00:20.118
In the beginning of the 20th century
00:00:20.028 --> 00:00:22.635
he proved that it was the case for all
00:00:22.008 --> 00:00:24.677
numbers congruent to four mod five
00:00:24.088 --> 00:00:27.838
So he proved that P of five N plus four
00:00:28.000 --> 00:00:30.015
is congruent to zero mod seven
00:00:30.032 --> 00:00:32.914
and that P of eleven N plus six
00:00:33.000 --> 00:00:34.831
is congruent to zero mod eleven
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Movie Summary
Frank, a single man raising his child prodigy niece Mary, is drawn into a custody battle with his mother.
