5 , 7 {\displaystyle n=4,5,7} ? More unsolved problems in mathematics Brocard's problem is a problem in mathematics that seeks integer values of n {\displaystyle...

Brocard's most well-known contributions to mathematics are the Brocard points, the Brocard circle, and the Brocard triangle. The positive Brocard point...

In number theory, Brocard's conjecture is the conjecture that there are at least four prime numbers between (pn)2 and (pn+1)2, where pn is the nth prime...

Ibragimov–Iosifescu conjecture for φ-mixing sequences Beilinson's conjectures Brocard's problem: are there any integer solutions to n ! + 1 = m 2 {\displaystyle n...

theorem, the Mordell conjecture, the Fermat–Catalan conjecture, and Brocard's problem. The conjecture states that: given ε > 0, there exists a constant...

to but stronger than Legendre's conjecture, Andrica's conjecture, and Brocard's conjecture. It is named after Danish mathematician Ludvig Oppermann, who...

! + 1 = 121 {\displaystyle 5!+1=121} , it provides a solution to Brocard's problem. There are only two other squares known to be of the form n ! + 1...

\pm 1} is itself prime it is called a factorial prime; relatedly, Brocard's problem, also posed by Srinivasa Ramanujan, concerns the existence of square...

integers of the form as + bt are exactly the multiples of d. Brocard Brocard's problem Chinese remainder theorem Chinese remainder theorem class field...

theorem, the Mordell conjecture, the Fermat–Catalan conjecture, and Brocard's problem. After moving to the CUNY Graduate Center in 1999, Szpiro began working...

and ( n + 1 ) 2 {\displaystyle (n+1)^{2}} , Andrica's conjecture and Brocard's conjecture on the existence of primes between squares of consecutive primes...

In geometry, Lemoine's problem is a straightedge and compass construction problem posed by French mathematician Émile Lemoine in 1868: Given one vertex...

primes that differ by 2 k . {\displaystyle 2k.} Andrica's conjecture, Brocard's conjecture, Legendre's conjecture, and Oppermann's conjecture all suggest...

orthocentroidal circle. The set of potential locations of one or the other of the Brocard points is also the open orthocentroidal disk. The square of the diameter...

The tomahawk is a tool in geometry for angle trisection, the problem of splitting an angle into three equal parts. The boundaries of its shape include...

coordinates (mathematics) Bernoulli's quadrisection problem Brocard circle Brocard points Brocard triangle Carnot's theorem (conics) Carnot's theorem...

D E F G H I J L M N O P Q R S T U V See also References External links Brocard (law) Byzantine law Code of Hammurabi Corpus Juris Canonici International...

this problem exists, and what is over is the reluctance of the Church to deal openly with the public about the nature and extent of the problem." In early...

expressed concern that the warming of the planet is a symptom of a greater problem: the developed world's indifference to the destruction of the planet as...

the triangle at the midpoints of its sides, the Mandart inellipse and Brocard inellipse (see examples section). For any triangle there exist an infinite...

successfully sue the fifth bona fide purchaser in trover). However, the problem of successive bona fide purchasers can be remedied: If the jurisdiction...

the Kiepert hyperbola are the Simson lines of the intersections of the Brocard axis with the circumcircle. The Kiepert hyperbola is a rectangular hyperbola...

medians. A triangle's circumcenter, its Lemoine point, and its first two Brocard points are concyclic, with the segment from the circumcenter to the Lemoine...

Millennium Prize Problems Painlevé conjecture Mathematical fallacy Superseded theories in science List of incomplete proofs List of unsolved problems in mathematics...

28 August 2017. Allen Jr., John L. (27 August 2017). "On popes and the problem with preemptive resignation". CRUX. Retrieved 28 August 2017. Wooden, Cindy...

King (2004). The Disease of Virgins: Green Sickness, Chlorosis, and the Problems of Puberty. Psychology Press. pp. 1–2. ISBN 9780415226622. "morior invictus"...

know of it. The concept comes from Roman law, and is expressed in the brocard ignorantia legis non excusat. The essential public character of a law requires...

Innocence: A Life of G. K. Chesterton. London: Hodder & Stoughton. Sewell, Brocard (1975). Cecil Chesterton. Faversham: Saint Albert's Press. Squire, John...

ignored the requirements for contrition or charity, had become a serious problem which the church recognized but was unable to restrain effectively. Abuses...

aériennes et sous-marines: 1934-1936. P. Geuthner. Goiran, Jean-Philippe; Brocard, Gilles; De Graauw, Arthur; Kahwagi-Janho, Hany; Chapkanski, Stoil (2021)...