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Prime Numbers Prime Numbers

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INDEX 595 te Riele, H. (with van de Lune et al.), 38, 67 Technology Review, 424 Teitelbaum, J., 270 ternary Goldbach problem, 19, 20, 62, 71 Terr, D., x, 236 Terzian, J., 463 Teske, E., x, 233, 235, 236 Teske, E. (with Buchmann et al.), 236 Teukolsky, S. (with Press et al.), 399, 402, 403 Tevanian, A., x Tezuka, S., 406, 415 Thomas, J., 465 Thompson, R., x Thyssen, A. (with Pritchard et al.), 78 Tijdeman, R., 416, 417, 434 Titchmarsh, E., 43, 69, 170, 440 Tonelli, A., 100 Toom–Cook method, 472–476, 506, 524, 525, 536 Toplic, M., 78 Trabb Pardo, L., 163 Traub, J., 413, 415 Trevisan, V., 29 trial division, 117–120, 173 triangular numbers, 437, 515 Trott, M., x Tsapakidis, D. (with Escott et al.), 234 Tucker, T., 417 Tuckerman, B. (with Brillhart et al.), 299 Tukey, J., 479 Tuler, R. (with Pomerance et al.), 276 Turán, P., 13, 14 Turing machine (TM), 419, 420, 423, 435, 436 twin-prime pairs, 14–16, 19, 38, 62, 80 twinkle device, 424 twist curve, 329, 377, 394, 395 Ullman, J. (with Aho et al.), 466, 509, 513 Underwood, P. (with Frind et al.), 78 unique factorization domain (UFD), 291 Vallée, B., 302 Valor, G., 23 van de Lune, J., 38, 67 van der Corput sequence, 408 van der Corput, J., 44, 407, 408 van der Hulst, M., 200 van der Pol, B., 428 van Halewyn, C., 346 van Halewyn, C. (with Brent et al.), 28, 321, 340–342, 347, 385, 456, 496, 528 Van Loan, C., 481, 483, 485, 530 van Oorschot, P., 234, 235 van Oorschot, P. (with Menezes et al.), 88, 91, 102, 104, 110, 390, 391, 402, 445, 450, 461, 522 van Zyl, B., 428 Vandewalle, J. (with Bosselaers et al.), 449, 452, 453 Vandiver conjecture, 492 Vanstone, S. (with Menezes et al.), 88, 91, 102, 104, 110, 390– 392, 402, 445, 450, 461, 522 Vaughan, R., 43, 47, 48, 57, 70, 537, 538 Veach, E., 415, 439 Vehka, T., 81 Venkatesan, R., 432 Vettering, W. (with Press et al.), 399, 402, 403 Vinogradov equidistribution theorem, 58 estimates, 72 ternary-Goldbach theorem, 20, 71 Vinogradov, I., 19, 20, 45, 46, 48, 64, 538

596 INDEX Vladimirov, V., 429 Volovich, I. (with Vladimirov et al.), 429 von Koch, H., 37 von Mangoldt, H., 37, 171 von Neumann, J., 397 von zur Gathen, J., 95 Wada, H., 418 Wagon, S., x, 81, 107, 389, 396, 433 Wagstaff Jr., S., x, 4, 5, 7, 25, 149, 165, 168, 343, 533 Wagstaff Jr., S. (with Bateman et al.), 25 Wagstaff Jr., S. (with Brillhart et al.), 299 Wall Street, 409, 413 Wall–Sun–Sun primes, 4, 32 Walsh–Hadamard transform, 478, 525 Wang, Y., 19 Wantzel, P., 210 Ware, A., 487 Waring problem, 538 Warren, B., 430 Washington, L., 76 Wassing, H., 14 Watkins, M., x, 247, 248, 361 Watt, N., 45 Weber variety, 361 Weber, D. (with Schirokauer et al.), 306, 387 Weber, K., 464 Wedeniwski, S., 39 Weierstrass equations, 375 form, 320, 321, 329, 374 function, 375 Weiss, E., 288 Weisstein, E., 75, 78, 418 Wellin, P., x, 78 Welsh, Jr., L., 23 Western, A., 299 Weyl theorem, 44, 58 Weyl, H., 44 wheel, 119, 120 Wheeler, N., x Whiten, W., 414 Wiedemann, D., 269 Wiedmann method (for coordinate recurrence), 269 Wieferich primes, 4, 31, 32, 64, 416, 434 Wieferich, A., 31 Wiener, M., x, 234, 235, 431 Wiener, M. (with De Win et al.), 381, 453, 458, 536 Wiens, D., 418 Wieting, T., x Wiles, A., 415, 417, 492, 532 Williams, C., 420, 423 Williams, D., 499 Williams, H., 174, 219, 220, 229, 385, 389 Williams, J., x, 251 Willmore, D., 23 Wilson primes, 4, 32, 33, 65, 81, 82, 514, 534 Wilson quotient, 32, 33, 65 Wilson theorem, 21, 33 Wilson–Lagrange theorem, 32, 64, 65, 238 Winkler, P., x Winograd complexity, 525, 539 Winograd, S., 524 Winter, D. (with van de Lune et al.), 38, 67 Winterhof, A., 538 Wirth, T., 4 Wirth, T. (with Franke et al.), 374 Wolf, M., 429, 439 Wolfram, S., x Woltman, G., 4 Woltman, G., x, 23, 24, 343, 345, 346, 453, 470, 496, 528 Wozniakowski, H., 406, 415 Wright, E., 36, 46, 87, 121, 227, 492, 527 Wu, P., 399, 400 Wylde, A., x Yacobi, Y., 458, 536

596 INDEX<br />

Vladimirov, V., 429<br />

Volovich, I. (with Vladimirov et<br />

al.), 429<br />

von Koch, H., 37<br />

von Mangoldt, H., 37, 171<br />

von Neumann, J., 397<br />

von zur Gathen, J., 95<br />

Wada, H., 418<br />

Wagon, S., x, 81, 107, 389, 396, 433<br />

Wagstaff Jr., S., x, 4, 5, 7, 25, 149,<br />

165, 168, 343, 533<br />

Wagstaff Jr., S. (with Bateman et<br />

al.), 25<br />

Wagstaff Jr., S. (with Brillhart et<br />

al.), 299<br />

Wall Street, 409, 413<br />

Wall–Sun–Sun primes, 4, 32<br />

Walsh–Hadamard transform, 478,<br />

525<br />

Wang, Y., 19<br />

Wantzel, P., 210<br />

Ware, A., 487<br />

Waring problem, 538<br />

Warren, B., 430<br />

Washington, L., 76<br />

Wassing, H., 14<br />

Watkins, M., x, 247, 248, 361<br />

Watt, N., 45<br />

Weber variety, 361<br />

Weber, D. (with Schirokauer et<br />

al.), 306, 387<br />

Weber, K., 464<br />

Wedeniwski, S., 39<br />

Weierstrass<br />

equations, 375<br />

form, 320, 321, 329, 374<br />

function, 375<br />

Weiss, E., 288<br />

Weisstein, E., 75, 78, 418<br />

Wellin, P., x, 78<br />

Welsh, Jr., L., 23<br />

Western, A., 299<br />

Weyl theorem, 44, 58<br />

Weyl, H., 44<br />

wheel, 119, 120<br />

Wheeler, N., x<br />

Whiten, W., 414<br />

Wiedemann, D., 269<br />

Wiedmann method (for coordinate<br />

recurrence), 269<br />

Wieferich primes, 4, 31, 32, 64, 416,<br />

434<br />

Wieferich, A., 31<br />

Wiener, M., x, 234, 235, 431<br />

Wiener, M. (with De Win et al.),<br />

381, 453, 458, 536<br />

Wiens, D., 418<br />

Wieting, T., x<br />

Wiles, A., 415, 417, 492, 532<br />

Williams, C., 420, 423<br />

Williams, D., 499<br />

Williams, H., 174, 219, 220, 229,<br />

385, 389<br />

Williams, J., x, 251<br />

Willmore, D., 23<br />

Wilson primes, 4, 32, 33, 65, 81, 82,<br />

514, 534<br />

Wilson quotient, 32, 33, 65<br />

Wilson theorem, 21, 33<br />

Wilson–Lagrange theorem, 32, 64,<br />

65, 238<br />

Winkler, P., x<br />

Winograd complexity, 525, 539<br />

Winograd, S., 524<br />

Winter, D. (with van de Lune et<br />

al.), 38, 67<br />

Winterhof, A., 538<br />

Wirth, T., 4<br />

Wirth, T. (with Franke et al.), 374<br />

Wolf, M., 429, 439<br />

Wolfram, S., x<br />

Woltman, G., 4<br />

Woltman, G., x, 23, 24, 343, 345,<br />

346, 453, 470, 496, 528<br />

Wozniakowski, H., 406, 415<br />

Wright, E., 36, 46, 87, 121, 227,<br />

492, 527<br />

Wu, P., 399, 400<br />

Wylde, A., x<br />

Yacobi, Y., 458, 536

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