Raw QPP-RNG randomness via system jitter across platforms: a NIST SP 800-90B evaluation. [PDF]
Vrana G, Lou D, Kuang R.
europepmc +1 more source
Development and Internal Validation of a Prediction Model for Major Cardiovascular and Respiratory Events in Chronic Obstructive Pulmonary Disease: Nationwide Primary Care Electronic Medical Records Cohort Study. [PDF]
Gale CP +14 more
europepmc +1 more source
Integrating Smoking Cessation Treatment Into Web-Based Usual Psychological Care for People With Common Mental Illness: Feasibility Randomized Controlled Trial (ESCAPE Digital). [PDF]
Taylor G +13 more
europepmc +1 more source
Logistic regression for estimating functional effects with spatial transcriptomics. [PDF]
Barkasi M +3 more
europepmc +1 more source
Testing the effectiveness of the Responsible, Engaged, and Loving Fathers (REAL Fathers) intervention for improving early childhood development and reducing family violence in Uganda: Study protocol for a cluster-randomized controlled trial. [PDF]
Barker KM +7 more
europepmc +1 more source
A new multiple image encryption algorithm using hyperchaotic systems, SVD, and modified RC5. [PDF]
Alexan W +6 more
europepmc +1 more source
SOME IDENTITIES OF k-MERSENNE NUMBERS
Summary: In this study, we first examine \(k\)-Mersenne numbers. Then we obtain some identities on the \(k\)-Mersenne numbers.
Uslu, Kemal, Deniz, Vural
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Mersenne Numbers in Generalized Lucas Sequences
Let $$k \geq 2$$ be an integer and let $$(L_{n}^{(k)})_{n \geq 2-k}$$ be the $$k$$-generalized Lucas sequence with certain initial $$k$$ terms and each term afterward is the sum of the $$k$$ preceding terms. Mersenne numbers are the numbers of the form $$2^a-1$$, where $$a$$ is any positive integer.
ALAN, Murat, Altassan, Alaa
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