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Feed-in-Tariffs Financed by Energy Taxes: When do They Lower Consumer Prices?

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preprint

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Article 05.3.3 Prime and Composite Terms in Sloane’s Sequence A056542

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We give the complete factorization of the first fifty terms of the sequence an:= nan−1 + 1 with a1: = 0. We searched the terms an for primes up to n = 1019 with the result that only the indexes 4, 8, 18, 20 and 70 provide primes. A final section deals with some conjectures on prime terms in this sequence. 1

We give the complete factorization of the first fifty terms of the sequence an:= nan−1 + 1 with a1: = 0. We searched the terms an for primes up to n = 1019 with the result that only the indexes 4, 8, 18, 20 and 70 provide primes. A final section deals with some conjectures on prime terms in this sequence. 1 Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2011-05-09

Source:

http://www.math.uwaterloo.ca/JIS/VOL8/Mueller/mueller6.pdf

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text

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en

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Article 06.3.8 All Elite Primes Up to 250 Billion

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A prime number p is called elite if only finitely many Fermat numbers 22n + 1 are quadratic residues of p. Previously only the interval up to 109 was systematically searched for elite primes and 16 such primes were found. We extended this research up to 2.5 · 1011 and found five further elites, among which 1 151 139 841 is the smallest and 171 7...

A prime number p is called elite if only finitely many Fermat numbers 22n + 1 are quadratic residues of p. Previously only the interval up to 109 was systematically searched for elite primes and 16 such primes were found. We extended this research up to 2.5 · 1011 and found five further elites, among which 1 151 139 841 is the smallest and 171 727 482 881 the largest. 1 Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2011-05-09

Source:

http://www.math.uwaterloo.ca/JIS/VOL9/Mueller/mueller12.pdf

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text

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en

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4. The Results

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2012-03-11

Source:

http://www.expmath.org/expmath/volumes/15/15.2/Mueller.pdf

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text

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en

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Article 08.3.1 On Generalized Elite Primes

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A prime number p is called b-elite if only finitely many generalized Fermat numbers Fb,n = b 2n + 1 are quadratic residues to p. So far, only the case b = 2 was subjected to theoretical and experimental researches by several authors. Most of the results obtained for this special case can be generalized for all bases b> 2. Moreover, the generaliz...

A prime number p is called b-elite if only finitely many generalized Fermat numbers Fb,n = b 2n + 1 are quadratic residues to p. So far, only the case b = 2 was subjected to theoretical and experimental researches by several authors. Most of the results obtained for this special case can be generalized for all bases b> 2. Moreover, the generalization allows an insight to more general structures in which standard elite primes are embedded. We present selected computational results from which some conjectures are derived. 1 Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2011-05-09

Source:

http://www.math.uwaterloo.ca/JIS/VOL11/Mueller/mueller445.pdf

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text

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en

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Article 07.9.4 On Anti-Elite Prime Numbers

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An odd prime number p is called anti-elite if only finitely many Fermat numbers are quadratic non-residues to p. This concept is the exact opposite to that of elite prime numbers. We study some fundamental properties of anti-elites and show that there are infinitely many of them. A computational search among all the numbers up to 100 billion yie...

An odd prime number p is called anti-elite if only finitely many Fermat numbers are quadratic non-residues to p. This concept is the exact opposite to that of elite prime numbers. We study some fundamental properties of anti-elites and show that there are infinitely many of them. A computational search among all the numbers up to 100 billion yielded 84 anti-elite primes. 1 Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2011-05-09

Source:

http://www.math.uwaterloo.ca/JIS/VOL10/Mueller/mueller56.pdf

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text

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en

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Journal of Integer Sequences, Vol. 13 (2010), Article 10.9.5 On the Fermat Periods of Natural Numbers

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Let b> 1 be a natural number and n ∈ N0. Then the numbers Fb,n: = b2n +1 form the sequence of generalized Fermat numbers in base b. It is well-known that for any natural number N, the congruential sequence (Fb,n (mod N)) is ultimately periodic. We give criteria to determine the length of this Fermat period and show that for any natural number L ...

Let b> 1 be a natural number and n ∈ N0. Then the numbers Fb,n: = b2n +1 form the sequence of generalized Fermat numbers in base b. It is well-known that for any natural number N, the congruential sequence (Fb,n (mod N)) is ultimately periodic. We give criteria to determine the length of this Fermat period and show that for any natural number L and any b> 1 the number of primes having a period length L to base b is infinite. From this we derive an approach to find large non-Proth elite and anti-elite primes, as well as a theorem linking the shape of the prime factors of a given composite number to the length of the latter number’s Fermat period. 1 Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2011-03-30

Source:

http://www.cs.uwaterloo.ca/journals/JIS/VOL13/Mueller/mueller6.pdf

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en

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Terrain Analysis for Locating Erosion Channels: Assessing LiDAR Data and Flow Direction Algorithm

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InTech

Year of Publication:

2012-11-21

Source:

http://www.intechopen.com/download/pdf/pdfs_id/39243

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03

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en

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Research on Soil Erosion

Research on Soil Erosion Minimize

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ISBN:978-953-51-0839-9

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Jazz combo ; Ball State University, School of Music presents A jazz combo

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With Roger Barnhart, bass, Mark Hulsebos, saxophone, Scott Kemper, piano, and Scott Lang, drums.; Assisted by Jeana Tenerelli, vocals.; This recital is presented under the auspices of the Jazz Studies program.; This recital is under the musical supervision of Tom Shah and Erwin Mueller. ; Series XXXVII, Number 110. ; 5.5 in. x 8.5 in.

With Roger Barnhart, bass, Mark Hulsebos, saxophone, Scott Kemper, piano, and Scott Lang, drums.; Assisted by Jeana Tenerelli, vocals.; This recital is presented under the auspices of the Jazz Studies program.; This recital is under the musical supervision of Tom Shah and Erwin Mueller. ; Series XXXVII, Number 110. ; 5.5 in. x 8.5 in. Minimize

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Barnhart, Roger; Hulsebos, Mark; Kemper, Scott; Lang, Scott; Tenerelli, Jeana; Shah, Tom; Mueller, Erwin

Year of Publication:

1983-03-15

Source:

Programs; Typed text

Programs; Typed text Minimize

Document Type:

Text

Language:

English

Subjects:

Concerts; Jazz; Jazz vocals

Concerts; Jazz; Jazz vocals Minimize

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Copyright 2011, Ball State University. All rights reserved. ; http://www.bsu.edu/libraries/forms/digitalimagereproductionagreement.php

Copyright 2011, Ball State University. All rights reserved. ; http://www.bsu.edu/libraries/forms/digitalimagereproductionagreement.php Minimize

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Ball State University School of Music Concert and Event Programs ; http://libx.bsu.edu/cdm4/collection.php?CISOROOT=/MusCnrtEvnt ; Ball State University School of Music Concert and Event Programs ; http://www.bsu.edu/libraries/archives/findingaids/RG-21-03-07.html ; Ball State University. University Libraries. Archives and Special Collections

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SAG, a novel zinc RING finger protein that protects cells from apoptosis induced by redox agents

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Hangjun Duan ; Yuli Wang ; Micheal Aviram ; Manju Swaroop ; Joseph A. Loo ; Junhui Bian ; Ye Tian ; Tom Mueller ; L. Bisgaier ; Yi Sun ; ...

Hangjun Duan ; Yuli Wang ; Micheal Aviram ; Manju Swaroop ; Joseph A. Loo ; Junhui Bian ; Ye Tian ; Tom Mueller ; L. Bisgaier ; Yi Sun ; Mol Cell Biol ; Hangjun Duan ; Yuli Wang ; Micheal Aviram ; Manju Swaroop ; Joseph A. Loo ; Junhui Bian ; Ye Tian ; Tom Mueller ; Charles L. Bisgaier ; Yi Sun Minimize authors

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Updated information and services can be found at:

Updated information and services can be found at: Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-08-16

Source:

http://mcb.asm.org/content/19/4/3145.full.pdf

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text

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en

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