Results 141 to 150 of about 992 (177)

Evaluation of a digital health decision intervention to support management decision-making for adults with hearing loss: protocol for the HearChoice randomised controlled trial. [PDF]

BMJ Open
Ferguson MA, Sherman KA, Bothe E, Timmer BH, Dawes P, Myers B, Norman R, Mejia J, Bennett RJ, Mottershaw AL, Zu Brickwedde EM, Convery E, Gyani A.   +12 more
europepmc   +1 more source

Integrity verified lightweight ciphering for secure medical image sharing between embedded SoCs. [PDF]

Sci Rep
Janakiraman S, R VR, Sivaraman R, Sridevi A, Upadhyay HN, Amirtharajan R.   +5 more
europepmc   +1 more source

A Service Evaluation of Antenatal Detection of Small-for-Gestational-Age Infants in a UK National Health Service Trust. [PDF]

Cureus
Ali HH, Thiruchelvam T, Singh T.
europepmc   +1 more source

LAX1 as a core biomarker in Alzheimer's disease and periodontitis via the STAT signaling pathway. [PDF]

BMC Geriatr
Guo H, Guo T, Wang X, Bao Y, Zhang Z, Xue F, Cheng D.   +6 more
europepmc   +1 more source

Some of the next articles are maybe not open access.

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Mersenne numbers

2021
exaly   +2 more sources

Mersenne's Numbers

Nature, 1922
IN my presidential address to Section A of the British Association, reprinted in NATURE (September 16), I stated that 137 was the least value of n for which the prime or composite character of 2n–1 was still undecided. Mr. W. W. Rouse Ball has pointed out to me that this is incorrect, as 2137–1 has been shown to be composite by M. A.
openaire   +1 more source

Mersenne numbers as a difference of two Lucas numbers

Commentationes Mathematicae Universitatis Carolinae, 2023
Summary: Let \((L_n)_{n\geq 0}\) be the Lucas sequence. We show that the Diophantine equation \(L_n-L_m=M_k\) has only the nonnegative integer solutions \((n,m,k)=(2,0,1)\), \((3,1,2)\), \((3,2,1)\), \((4,3,2)\), \((5,3,3)\), \((6,2,4)\), \((6,5,3)\) where \(M_k=2^k-1\) is the \(k\)th Mersenne number and \(n>m\).
openaire   +3 more sources

SOME IDENTITIES OF k-MERSENNE NUMBERS

Advances and Applications in Discrete Mathematics, 2017
Summary: In this study, we first examine \(k\)-Mersenne numbers. Then we obtain some identities on the \(k\)-Mersenne numbers.
Uslu, Kemal, Deniz, Vural
openaire   +2 more sources

New Vistas on Mersenne numbers

Proceeding International Conference on Science and Engineering, 2023
Mersenne numbers are analyzed for varieties of interesting properties. Various fascinating relations connecting Mersenne numbers with other special number patterns by means of theorems involving the relations are exhibited.
openaire   +1 more source

Search Limits on Divisors of Mersenne numbers

BIT, 1962
On the urgent request of several coenthusiasts around the globe in the field of Factorization of Mersenne Numbers, the author publishes here for the first time the search limits on divisorsq of 2p − 1, even when no divisor up to this limit was found. This list, therefore, should avoid time consuming double work.
openaire   +1 more source