examples of Smarandache-Wellin primes in a few selected bases

In base 10, there are eight known Smarandache-Wellin primes. The first three are 2, 23 and 2357; these are listed in A069151 of Sloane’s OEIS. The fourth is approximately $2.357111317192329313741434753\\times 10^{355}$ , and the other four are much larger.

The first three binary Smarandache-Wellin primes are 2, 11 and 751, while in hexadecimal the first two are 2 and 144763. There are slightly more in octal: 2, 19, 157 and 440152287140627310757403395684438501207352921. By now it should be quite obvious that 2 is a Smarandache-Wellin prime regardless of the base.

The first few Smarandache-Wellin primes in factorial base are 2, …

This concept cannot be extended to Roman numerals, as the concatenations yield invalid combinations like IIIIIV and IIIIIVVII.

单词	ExamplesOfSmarandacheWellinPrimesInAFewSelectedBases
释义	examples of Smarandache-Wellin primes in a few selected bases In base 10, there are eight known Smarandache-Wellin primes. The first three are 2, 23 and 2357; these are listed in A069151 of Sloane’s OEIS. The fourth is approximately $2.357111317192329313741434753\\times 10^{355}$ , and the other four are much larger. The first three binary Smarandache-Wellin primes are 2, 11 and 751, while in hexadecimal the first two are 2 and 144763. There are slightly more in octal: 2, 19, 157 and 440152287140627310757403395684438501207352921. By now it should be quite obvious that 2 is a Smarandache-Wellin prime regardless of the base. The first few Smarandache-Wellin primes in factorial base are 2, … This concept cannot be extended to Roman numerals, as the concatenations yield invalid combinations like IIIIIV and IIIIIVVII.
随便看	SimultaneousBlockdiagonalizationOfUpperTriangularCommutingMatrices simultaneous block-diagonalization of upper triangular commuting matrices SimultaneousConvergingOrDivergingOfProductAndSumTheorem simultaneous converging or diverging of product and sum theorem SimultaneousTriangularisationOfCommutingMatricesOverAnyField simultaneous triangularisation of commuting matrices over any field SimultaneousUpperTriangularBlockdiagonalizationOfCommutingMatrices simultaneous upper triangular block-diagonalization of commuting matrices SincIsL2 sinc is L^2 SincIsNotL1 sinc is not L^1 SineIntegral sine integral SineIntegralAtInfinity sine integral at infinity SineOfAngleOfTriangle sine of angle of triangle SinesLaw sines law SinesLawProof sines law proof sines law proof SinesLawProof1 Singleton