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Page 1
The 24th mersenne prime.
Tuckerman B. Tuckerman B. Proc Natl Acad Sci U S A. 1971 Oct;68(10):2319-20. doi: 10.1073/pnas.68.10.2319. Proc Natl Acad Sci U S A. 1971. PMID: 16591945 Free PMC article.
The 24th Mersenne prime M(p) = 2(p) - 1, and currently the largest known prime, is 2(19937) - 1. Primality was shown by the Lucas-Lehmer test on an IBM 360/91 computer. The 24th even perfect number is (2(19937) - 1).2(19936)....
The 24th Mersenne prime M(p) = 2(p) - 1, and currently the largest known prime, is 2(19937) - 1. Primality was shown by the Lucas-Leh …
Development of modified RSA algorithm using fixed mersenne prime numbers for medical ultrasound imaging instrumentation.
Shin SH, Yoo WS, Choi H. Shin SH, et al. Comput Assist Surg (Abingdon). 2019 Oct;24(sup2):73-78. doi: 10.1080/24699322.2019.1649070. Epub 2019 Aug 14. Comput Assist Surg (Abingdon). 2019. PMID: 31411496
Materials and methods: We generate a public key using three prime numbers, including a fixed Mersenne prime number, in the modified Rivest-Shamir-Adelman (RSA) algorithm to compare the encryption capability. ...However, the elapsed time using fixed Mersenn …
Materials and methods: We generate a public key using three prime numbers, including a fixed Mersenne prime number, in …
Learned pseudo-random number generator: WGAN-GP for generating statistically robust random numbers.
Okada K, Endo K, Yasuoka K, Kurabayashi S. Okada K, et al. PLoS One. 2023 Jun 14;18(6):e0287025. doi: 10.1371/journal.pone.0287025. eCollection 2023. PLoS One. 2023. PMID: 37315028 Free PMC article.
Pseudo-random number generators (PRNGs) are software algorithms generating a sequence of numbers approximating the properties of random numbers. ...We conduct experimental studies to evaluate our learned pseudo-random number generator (LPRNG) by adopti …
Pseudo-random number generators (PRNGs) are software algorithms generating a sequence of numbers approximating the properties …
BiEntropy, TriEntropy and Primality.
Croll GJ. Croll GJ. Entropy (Basel). 2020 Mar 10;22(3):311. doi: 10.3390/e22030311. Entropy (Basel). 2020. PMID: 33286084 Free PMC article.

The work is repeated in binary using a Monte Carlo simulation of a sample of natural numbers < 2(32) and in trinary for all natural numbers < 3(9) with similar but cubic results. ...Since the primes are Gaussian due to a simple induction on the binary derivati

…

The work is repeated in binary using a Monte Carlo simulation of a sample of natural numbers < 2(32) and in trinary for all natura

…
Keystroke Dynamics-Based Authentication Using Unique Keypad.
Choi M, Lee S, Jo M, Shin JS. Choi M, et al. Sensors (Basel). 2021 Mar 23;21(6):2242. doi: 10.3390/s21062242. Sensors (Basel). 2021. PMID: 33806907 Free PMC article.
Authentication methods using personal identification number (PIN) and unlock patterns are widely used in smartphone user authentication. ...In this paper, we propose unique keypads that are assigned to and used by only normal users of smartphones to improve the user classi …
Authentication methods using personal identification number (PIN) and unlock patterns are widely used in smartphone user authenticati …
Improving the pseudo-randomness properties of chaotic maps using deep-zoom.
Machicao J, Bruno OM. Machicao J, et al. Chaos. 2017 May;27(5):053116. doi: 10.1063/1.4983836. Chaos. 2017. PMID: 28576110
Moreover, taking advantage of this randomization improvement, we propose a Pseudo-Random Number Generator (PRNG) based on the k-logistic map. The pseudo-random qualities of the proposed PRNG passed both tests successfully, i.e., DIEHARD and NIST, and were comparable with o …
Moreover, taking advantage of this randomization improvement, we propose a Pseudo-Random Number Generator (PRNG) based on the k-logis …
P-RnaPredict--a parallel evolutionary algorithm for RNA folding: effects of pseudorandom number quality.
Wiese KC, Hendriks A, Deschênes A, Ben Youssef B. Wiese KC, et al. IEEE Trans Nanobioscience. 2005 Sep;4(3):219-27. doi: 10.1109/tnb.2005.853656. IEEE Trans Nanobioscience. 2005. PMID: 16220685
The research presented here builds on previous work and examines the impact of three different pseudorandom number generators (PRNGs) on the GA's performance. The three generators tested are the C standard library PRNG RAND, a parallelized multiplicative congruential gener …
The research presented here builds on previous work and examines the impact of three different pseudorandom number generators (PRNGs) …
Intraoperative versus extended antimicrobial prophylaxis after gastric cancer surgery: a phase 3, open-label, randomised controlled, non-inferiority trial.
Imamura H, Kurokawa Y, Tsujinaka T, Inoue K, Kimura Y, Iijima S, Shimokawa T, Furukawa H. Imamura H, et al. Lancet Infect Dis. 2012 May;12(5):381-7. doi: 10.1016/S1473-3099(11)70370-X. Epub 2012 Jan 31. Lancet Infect Dis. 2012. PMID: 22297080 Clinical Trial.
Randomisation was stratified using Pocock and Simon's minimisation method for institution and American Society of Anesthesiologists scores, and Mersenne twister was used for random number generation. The primary endpoint was the incidence of surgical-site infections …
Randomisation was stratified using Pocock and Simon's minimisation method for institution and American Society of Anesthesiologists scores, …
Features of digital signal processing algorithms using Galois fields GF(2n+1).
Suleimenov IE, Vitulyova YS, Matrassulova DK. Suleimenov IE, et al. PLoS One. 2023 Oct 25;18(10):e0293294. doi: 10.1371/journal.pone.0293294. eCollection 2023. PLoS One. 2023. PMID: 37878646 Free PMC article.
An alternating representation of integers in binary form is proposed, in which the numbers -1 and +1 are used instead of zeros and ones. It is shown that such a representation creates considerable convenience for multiplication numbers modulo p = 2n+1. For such n …
An alternating representation of integers in binary form is proposed, in which the numbers -1 and +1 are used instead of zeros and on …
18 results