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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) 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 p such that p plus the reversal of p equals a palindromic prime. [Luhn] Internationally renowned researcher Dr. Karen Rogers did a study of 241 profoundly gifted children in 19941995 during a postdoctoral fellowship. It was especially useful to parents who had observed developmental differences in their children but were unaware of what those differences may signify. The smallest duodecimal prime: p = (x^12 + y^12 )/(x^4 + y^4 ). [Russo] The smallest nonpalindromic 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 p^{7} can be written as the sum of 7 consecutive primes. Note that 2 + 4 + 1 = 7. [Rivera] The radioisotope americium241 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) = (m * (m)). [Firoozbakht] The United States Supreme Court case Chesapeake & Ohio Railway Company v. Asa P. Carnahan can be found on Page 241 of Volume 241. This easytoremember member of a twin prime pair is pronounced, "two for one." Get it? 241 = prime(prime(2!!*4!!*1!!)). [Javadifar] There are 241 known numbers that cannot be written as the sum of at most four tetrahedral numbers. [Capelle] The largest known prime p such that the reversal of (p! + p) is prime. [Firoozbakht] Washington D.C. schools chancellor Michelle Rhee once fired 241 teachers at the same time. If A = 1, B = 2, C = 3, ... , Z = 26, then 'THE RIEMANN HYPOTHESIS' is prime. [Homewood] The largest prime that can be represented as sum of three doubledigit emirps, i.e., 71+73+97=241. [Loungrides] The smallest prime of form n!+239. The sequence begins 241, 263, 359, 5279, etc., and its 22nd term is arguably the most interesting! [Honaker] 241 = (22^22)/2. Can you find the next prime of form (t^22)/2, where t is a repdigit of form 2*(10^n1)/9? [Honaker] During the Terror, the Military Commission presided over by Lenoir sentenced 241 people to death. Reference: Alfred Lallié (1896) La justice révolutionnaire à Nantes et dans la LoireInférieure. Nantes, B. Cier, p. xxvii. [Olry] 241 = 8*30+1 divides 8^2+30^2. Can you find a larger prime of the form ab+1 that divides a^2+b^2, where a and b are positive integers? [Honaker]
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