Book:Journal/Mathematics of Computation

Mathematics of Computation

(Math. Comp.)
Archive on JSTOR

Publisher: American Mathematical Society

Dates

Started publication: $1943$

(current)

Featured Articles

• 1962: Daniel Shanks and John W. Wrench, Jr.: Calculation of $\pi$ to 100,000 Decimals (Vol. 16: pp. 76 – 99)  www.jstor.org/stable/2003813

• 1963: Dura W. Sweeney: On the Computation of Euler's Constant (Vol. 17: pp. 170 – 178)  www.jstor.org/stable/2003637

• 1963: John Brillhart: Some miscellaneous factorizations (Vol. 17: pp. 447 – 450)  www.jstor.org/stable/2004009

• 1965: Review of Abundant Numbers by Thomas R. Parkin and Leon J. Lander (Vol. 19: p. 334)

• 1965: H.C. Williams, R.A. German and C.R. Zarnke: Solution of the Cattle Problem of Archimedes (Vol. 19: pp. 671 – 674)  www.jstor.org/stable/2003954

• 1967: M.F. Jones, M. Lal and W.J. Blundon: Statistics on Certain Large Primes (Vol. 21: pp. 103 – 107)  www.jstor.org/stable/2003476

• 1968: Elvin J. Lee: Amicable Numbers and the bilinear Diophantine equation (Vol. 22: pp. 181 – 227)  www.jstor.org/stable/2004776

• 1969: Z.A. Melzak: On the solid packing constant for circles (Vol. 23: pp. 169 – 172)  www.jstor.org/stable/2005066

• 1969: Elvin J. Lee: On divisibility by nine of the sums of even amicable pairs (Vol. 23: pp. 545 – 548)  www.jstor.org/stable/2004382

• 1970: Henri Cohen: On Amicable and Sociable Numbers (Vol. 24: pp. 423 – 429)  www.jstor.org/stable/2004489

• 1970: W.A. Beyer, N. Metropolis and J.R. Neergaard: Statistical Study of Digits of Some Square Roots of Integers in Various Bases (Vol. 24: pp. 455 – 473)  www.jstor.org/stable/2004493

• 1971: N.M. Stephens: On the Feit-Thompson Conjecture (Vol. 25, no. 115: p. 625)  www.jstor.org/stable/2005226

• 1971: Jacques Dutka: The Square Root of $2$ to $1,000,000$ Decimals (Vol. 25, no. 116: pp. 927 – 930)  www.jstor.org/stable/2004359

• 1972: M. Lal and P. Gillard: On the Equation $\map \phi n = \map \phi {n + k}$ (Vol. 26: pp. 579 – 583)  www.jstor.org/stable/2005186

• 1973: Kermit Rose and Simcha Brudno: More About Four Biquadrates Equal One Biquadrate (Vol. 27: pp. 491 – 494)  www.jstor.org/stable/2005655

• 1973: Bryant Tuckerman: A Search Procedure and Lower Bound for Odd Perfect Numbers (Vol. 27: pp. 943 – 949)  www.jstor.org/stable/2005529

• 1973: Peter Hagis, Jr.: A Lower Bound for the Set of Odd Perfect Numbers (Vol. 27: pp. 951 – 953)  www.jstor.org/stable/2005530

• 1974: Daniel Shanks and John W. Wrench, Jr.: Brun's Constant (Vol. 28: pp. 293 – 299)  www.jstor.org/stable/2005836

• 1974: H.J.J. te Riele: Four Large Amicable Pairs (Vol. 28: pp. 309 – 312)  www.jstor.org/stable/2005840

• 1974: Robert E. Dressler and Thomas Parker: 12,758 (Vol. 28: pp. 313 – 314)  www.jstor.org/stable/2005841

• 1975: Frederick R. Cohen and J.L. Selfridge: Not Every Number is the Sum or Difference of Two Prime Powers (Vol. 29: pp. 79 – 81)  www.jstor.org/stable/2005463

• 1975: Michael A. Morrison and John Brillhart: A method of factoring and the factorization of $F_7$ (Vol. 29: pp. 183 – 205)  www.jstor.org/stable/2005475

• 1976: Lowell Schoenfeld: Sharper bounds for the Chebyshev functions $\map \theta x$ and $\map \psi x$. II. (Vol. 30: pp. 337 – 360)  www.jstor.org/stable/2005976

• 1977: I.O. Angell and H.J. Godwin: On Truncatable Primes (Vol. 31: pp. 265 – 267)  www.jstor.org/stable/2005797

• 1977: Richard P. Brent: Computation of the Regular Continued Fraction for Euler's Constant (Vol. 31: pp. 771 – 777)  www.jstor.org/stable/2006010

• 1977: Sol Weintraub: Seventeen Primes in Arithmetic Progression (Vol. 31, no. 140: p. 1030)  www.jstor.org/stable/2006135

• 1978: Carter Bays and Richard H. Hudson: On the Fluctuations of Littlewood for Primes of the Form $4n \pm 1$ (Vol. 32: pp. 281 – 286)  www.jstor.org/stable/2006277

• 1978: Carter Bays and Richard H. Hudson: Details of the First Region of Integers $x$ with $\pi_{3,2} (x) < \pi_{3,1} (x)$ (Vol. 32: pp. 571 – 576)  www.jstor.org/stable/2006165

• 1978: David W. Boyd: Pisot and Salem Numbers in Intervals of the Real Line (Vol. 32: pp. 1244 – 1260)  www.jstor.org/stable/2006349

• 1979: Richard P. Brent: On the Zeros of the Riemann Zeta Function in the Critical Strip (Vol. 33: pp. 1361 – 1372)  www.jstor.org/stable/2006473

• 1980: Richard P. Brent and Edwin M. McMillan: Some New Algorithms for High-Precision Computation of Euler's Constant (Vol. 34: pp. 305 – 312)  www.jstor.org/stable/2006237

• 1980: Peter Hagis, Jr.: An Outline of a Proof that Every Odd Perfect Number has at Least Eight Prime Factors (Vol. 34: pp. 1027 – 1032)  www.jstor.org/stable/2006211

• 1980: Carl Pomerance, J.L. Selfridge and Samuel S. Wagstaff, Jr.: The Pseudoprimes to $25 \cdot 10^9$ (Vol. 35: pp. 1003 – 1026)  www.jstor.org/stable/2006210

• 1980: Robert Baillie and Samuel S. Wagstaff Jr.: Lucas Pseudoprimes (Vol. 35: pp. 1391 – 1417)  www.jstor.org/stable/2006406

• 1981: Sol Weintraub: A Large Prime Gap (Vol. 36: p. 279)  www.jstor.org/stable/2007746

• 1981: Richard P. Brent and John M. Pollard: Factorization of the Eighth Fermat Number (Vol. 36: pp. 627 – 630)  www.jstor.org/stable/2007666

• 1981: Robert Baillie, G. Cormack and H.C. Williams: The Problem of Sierpiński Concerning $k \cdot 2^n + 1$ (Vol. 37: pp. 229 – 231)  www.jstor.org/stable/2007516

• 1982: Walter E. Beck and Rudolph M. Najar: A Lower Bound for Odd Triperfects (Vol. 38, no. 157: pp. 249 – 251)  www.jstor.org/stable/2007481

• 1982: J.P. Buhler, R.E. Crandall and M.A. Penk: Primes of the Form $n! \pm 1$ and $2 \cdot 3 \cdot 5 \cdots p \pm 1$ (Vol. 38, no. 158: pp. 639 – 643)  www.jstor.org/stable/2007298

• 1983: Samuel S. Wagstaff, Jr.: Divisors of Mersenne Numbers (Vol. 40: pp. 385 – 397)  www.jstor.org/stable/2007383

• 1983: Aurel J. Zajta: Solutions of the Diophantine Equation $A^4 + B^4 = C^4 + D^4$ (Vol. 41: pp. 635 – 659)  www.jstor.org/stable/2007700

• 1983: Paul A. Pritchard: Eighteen Primes in Arithmetic Progression (Vol. 41: p. 697)  www.jstor.org/stable/2007705

• 1984: H.J.J. te Riele: On generating new amicable pairs from given amicable pairs (Vol. 42: pp. 219 – 223)  www.jstor.org/stable/2007572

• 1985: Peter Montgomery: Modular Multiplication Without Trial Division (Vol. 44: pp. 519 – 521)  www.jstor.org/stable/2007970

• 1985: C.D. Patterson and H.C. Williams: Some Periodic Continued Fractions With Long Periods (Vol. 44: pp. 523 – 532)  www.jstor.org/stable/2007971

• 1986: H.J.J. te Riele: Computation of all the amicable pairs below $10^{10}$ (Vol. 47: pp. 361 – 368)  www.jstor.org/stable/2008101

• 1986: H.C. Williams and Harvey Dubner: The Primality of $R1031$ (Vol. 47: pp. 703 – 711)  www.jstor.org/stable/2008184

• 1987: Peter L. Montgomery: Speeding the Pollard and Elliptic Curve Methods of Factorization (Vol. 48: pp. 243 – 264)  www.jstor.org/stable/2007888

• 1987: H.J.J. te Riele: On the difference $\pi \left({x}\right) - Li \left({x}\right)$ (Vol. 48: pp. 323 – 328)

• 1988: John Brillhart, Peter L. Montgomery and Robert D. Silverman: Tables of Fibonacci and Lucas Factorizations (Vol. 50: pp. 251 – 260)  www.jstor.org/stable/2007928

• 1988: Noam D. Elkies: On $A^4 + B^4 + C^4 = D^4$ (Vol. 51: pp. 825 – 835)  www.jstor.org/stable/2008781

• 1989: Richard P. Brent and Graeme L. Cohen: A New Bound for Odd Perfect Numbers (Vol. 53: pp. 431 – 437)  www.jstor.org/stable/2008375

• 1989: Richard P. Brent and Graeme L. Cohen: Supplement to A New Lower Bound for Odd Perfect Numbers (Vol. 53: pp. S7 – S24)  www.jstor.org/stable/2008385

• 1990: Jürgen Spieß: Some Identities Involving Harmonic Numbers (Vol. 55: pp. 839 – 863)  www.jstor.org/stable/2008451

• 1991: R.P. Brent, G.L. Cohen and H.J.J. te Riele: Improved Techniques for Lower Bounds for Odd Perfect Numbers (Vol. 57: pp. 857 – 868)  www.jstor.org/stable/2938723

• 1993: A.O.L. Atkin and F. Morain: Elliptic Curves and Primality Proving (Vol. 61: pp. 29 – 68)

• 1993: Jean-Marc Deshouillers, Andrew Granville, Wladyslaw Narkiewicz and Carl Pomerance: An Upper Bound in Goldbach's Problem (Vol. 61: pp. 209 – 213)  www.jstor.org/stable/2152947

• 1993: A.K. Lenstra, H.W. Lenstra, Jr., M.S. Manasse and J.M. Pollard: The Factorization of the Ninth Fermat Number (Vol. 61: pp. 319 – 349)  www.jstor.org/stable/2152957

• 1993: Peter L. Montgomery: New Solutions of $a^{p−1} \equiv 1 \pmod {p^2}$ (Vol. 61: pp. 361 – 363)  www.jstor.org/stable/2152960

• 1993: R.G.E. Pinch: The Carmichael Numbers up to $10^{15}$ (Vol. 61: pp. 381 – 391)  www.jstor.org/stable/2152963

• 1995: Chris K. Caldwell: On the Primality of $n! \pm 1$ and $2 \cdot 3 \cdot 5 \cdots p \pm 1$ (Vol. 64: pp. 889 – 890)  www.jstor.org/stable/2153458

• 1993: David Moews and Paul C. Moews: A Search for Aliquot Cycles and Amicable Pairs (Vol. 61: pp. 935 – 938)  www.jstor.org/stable/2153265

• 1995: Paul A. Pritchard, Andrew Moran and Anthony Thyssen: Twenty-Two Primes in Arithmetic Progression (Vol. 64: pp. 1337 – 1339)  www.jstor.org/stable/2153500

• 1995: Wilfrid Keller: New Cullen Primes (Vol. 64, no. 212: pp. 1733 – 1741)  www.jstor.org/stable/2153382

• 1995: Stan Wagon: Quintuples with Square Triplets (Vol. 64: pp. 1755 – 1756)  www.jstor.org/stable/2153384

• 1998: Peter Hagis, Jr. and Graeme L. Cohen: Every Odd Perfect Number Has a Prime Factor Which Exceeds $10^6$ (Vol. 67: pp. 1323 – 1330)  www.jstor.org/stable/2585187

• 1999: Richard P. Brent: Factorization of the Tenth Fermat Number (Vol. 68: pp. 429 – 451)  www.jstor.org/stable/2585124

• 2000: Jean-Marc Deshouillers, François Hennecart, Bernard Landreau and I. Gusti Putu Purnaba: 7373170279850 (Vol. 69: pp. 421 – 439)

• 2004: A.O.L. Atkin and D.J. Bernstein: Prime sieves using binary quadratic forms (Vol. 73: pp. 1023 – 1030)

• 2005: Richard P. Brent, Samuli Larvala and Paul Zimmermann: A primitive trinomial of degree 6972593 (Vol. 74: pp. 1001 – 1002)  www.jstor.org/stable/4100101

• 2012: Pascal Ochem and Michaël Rao: Odd Perfect Numbers Are Greater than $10^{1500}$ (Vol. 81: pp. 1869 – 1877)  www.jstor.org/stable/23268069

Previously published as

Mathematical Tables and Other Aids to Computation: $\text {1943}$ – $\text {1959}$

• 1947: D.H. Lehmer: Recent Mathematical Tables (Vol. 2, no. 19: pp. 297 – 311)  www.jstor.org/stable/2002589

• 1952: John W. Wrench, Jr.: A new calculation of Euler's constant (Vol. 6: p. 255)  www.jstor.org/stable/2002275

• 1953: J.L. Selfridge: Note $156$ -- Factors of Fermat numbers (Vol. 7: pp. 274 – 275)  www.jstor.org/stable/2002843