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241 (another Prime Pages' Curiosity) |
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The second unique prime in hexadecimal (base 16). The prime numbers are identified as N0241 in Sloane's original "Handbook of Integer Sequences." The smallest prime which when added to its reversal equals a palindromic prime. [Luhn] Internationally renowned researcher Dr. Karen Rogers once did a study of 241 profoundly gifted children. The smallest Duodecimal prime: p = (x^12 + y^12 )/(x^4 + y^4 ). [Russo] The smallest non-palindromic prime which can be expressed as sum of a number and its reverse, i.e., 241 = 170 + 071. [Gupta] The system of equations: 2w + 3x + 5y + 7z = 11; 13w + 17x + 19y + 23z = 29; 31w + 37x + 41y + 43z = 47; 53w + 59x + 61y + 67z = 71; has four fractions as its solution, each of which has denominator 241. [Rupinski] The smallest prime p such that the concatenation of p in base 10 down up to base 2 is prime. [Russo] The smallest prime p such that p7 can be written as the sum of 7 consecutive primes. Note that 2 + 4 + 1 = 7. [Rivera] The radioisotope americium-241 is used in many smoke detectors. The smallest prime value (out of 14) resulting from the ninedigital fraction equation (A/B)^C + (D/E)^F + (G/H)^I, where the letters A to I represent any combination of the nine digits 1 through 9. Note that (6/3)^5 + (8/4)^7 + (9/1)^2 and (6/3)^7 + (8/4)^5 + (9/1)^2 are the only two distinct solutions for 241. [De Geest]
241 is the only number m such that prime(m) =
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