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 smallest integer whose first n multiples all contain a 3
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Tag Archives: Pi digits
Pandigital numbers in 100,000 Digits of Pi
100,000 Digits of Pi Find pandigital numbers in the first 100,000 digits of Pi. For example, Paul’s solutions: {2,7,9,0,8,1,4,3,5,6} at 5470th position {7,9,0,8,1,4,3,5,6,2} at 5471st position {4,1,9,2,7,0,5,6,3,8} at 7115th position {0,4,5,7,6,1,8,9,3,2} at 8668th position {5,7,6,8,1,3,4,9,2,0} at … Continue reading
Prime numbers whose digits are the first 7 digits of π
List of prime numbers whose digits are the first 7 digits of in some order with the first 1,2,3,4,5,6 digits we can produce 1, 2, 1, 0, 15, 64 primes, respectively … Continue reading
Magic Squares and digits of π and e
—————————————— π = 3.141592653589793…. e = 2.718281828459045… Goal : To replace each number with the corresponding digit of π and e That is, to replace the number n in a magic square with … Continue reading
Some musings on π — Part 4
3.141592653589793238462643383279502884197169399375105820974944592307816406286 Let’s form palindromes from the reflected pi digits and see how many primes we can produce: 3 is a prime number. 313 is a prime number. 31413 = 3 * 37 * 283 … Continue reading
First 100 Pi Digits Forming primes
The first 100 pi digits: 3.141592653 5897932384 6264338327 9502884197 1693993751 0582097494 4592307816 4062862089 9862803482 5342117067 3 is prime 13, 31 are prime the first 3 digits: 431 … Continue reading
Some musings on π — Part 3
Older post: Some musings on π — Part 2 20 = e^π – π + 1/(1111 + 1/(11 + 1/√(2)) – k where k = 0.00000000000121421131625263947781024776481412773701327429819… e^π … Continue reading
Some musings on π — Part 2
Older posts: Feynman point Loop Sequences within π Some musings on π ———————————– 926 appears in both π and e^π : π = 3.141592653589793238462643383279502884197169399375105820974944… e^π = 23.14069263277926900572908636794854738026610624260021199344504… 926 in … Continue reading
Some musings on π
3.1415926535897932384626433832795028841971693993751058209749445923078164062 8620899862803482534211706798214808651328230664709384460955058223172535940812848 1117450284102701938521105559644622948954930381964428810975665933446128475648233 7867831652712019091456485669234603486104543266482133936072602491412737245870066 0631558817488152092096282925409171536436789259036001133053054882046652138414695 1941511609433057270365759… Let’s write the closest value to π by using all digits 0 – 9 once each (1 – 23 + 45 * 67) / 890 = 2993/890 = 3.3629213483146067415730337078651685393258426966292134… 2993/890 … Continue reading
Fractions: Using all the digits 0 to 9 to express an approximation of π
67389 π = —————— = 3.141678321678321678321 21450 67389 / 21450 = 3.14167832 (repeating decimal, period 6) 67389 / 21450 = 3 + 1/8 … Continue reading
Mr. Chao Lu recited 67,890 digits of pi in 24 hours and 4 minutes
He successfully recited 67,890 digits of pi in 24 hours and 4 minutes[1] with an error at the 67,891st digit, saying it was a “5”, when it was actually a “0”. He stated he had 100,000 memorized, and was going … Continue reading