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For every let () be the smallest number of marks for a ruler of length .For example, () =.The asymptotic of the function () was studied by Erdos, Gal [3] (1948) and continued by Leech [4] (1956) who proved that the limit () / exists and is lower and upper bounded by
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Name First elements Short description OEIS Mersenne prime exponents : 2, 3, 5, 7, 13, 17, 19, 31, 61, 89, ... Primes p such that 2 p − 1 is prime.: A000043 ...
5: 11: 0 1 4 9 11 0 2 7 8 11: c. 1967 [19] John P. Robinson and Arthur J. Bernstein 6: 17: 0 1 4 10 12 17 ... 0 4 20 30 57 59 62 76 100 111 123 136 144 145 151: 1985 [19]
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Power of ten Engineering notation [citation needed]Short scale (U.S. and modern British) Long scale (continental Europe, archaic British, and India) SI prefix SI symbol
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