Prime Numbers (āĻŽā§āĻ˛āĻŋāĻ āĻ¸āĻāĻā§āĻ¯āĻž) from 1-1000
What Are Prime Numbers ? / āĻŽā§āĻ˛āĻŋāĻ āĻ¸āĻāĻā§āĻ¯āĻž āĻāĻŋ ?
A prime number is a natural number greater than 1 that has exactly two distinct positive divisors: āĻŽā§āĻ˛āĻŋāĻ āĻ¸āĻāĻā§āĻ¯āĻž (Prime Number) āĻšā§āĻā§ 1-āĻ¤āĻā§ āĻĄāĻžāĻā§° āĻāĻ¨ā§ āĻāĻāĻž āĻ¸ā§āĻŦāĻžāĻāĻžā§ąāĻŋāĻ āĻ¸āĻāĻā§āĻ¯āĻž, āĻ¯āĻžā§° āĻ āĻŋāĻ āĻĻā§āĻāĻž āĻ§āĻ¨āĻžāĻ¤ā§āĻŽāĻ āĻā§āĻŖāĻ¨ā§āĻ¯āĻŧāĻ (Divisors) āĻĨāĻžāĻā§ -
1
The number itself (āĻ¸āĻāĻā§āĻ¯āĻžāĻā§ āĻ¨āĻŋāĻā§āĻ)
Key Characteristics of Prime Numbers / āĻŽā§āĻ˛āĻŋāĻ āĻ¸āĻāĻā§āĻ¯āĻžā§° āĻŦā§āĻļāĻŋāĻˇā§āĻā§āĻ¯āĻ¸āĻŽā§āĻš
Only divisible by 1 and itself. āĻā§ā§ąāĻ˛ 1 āĻā§°ā§ āĻ¨āĻŋāĻā§ā§°ā§ āĻŦāĻŋāĻāĻžāĻā§āĻ¯āĨ¤
Cannot be formed by multiplying two smaller natural numbers. āĻĻā§āĻāĻž āĻ¸ā§°ā§ āĻ¸ā§āĻŦāĻžāĻāĻžā§ąāĻŋāĻ āĻ¸āĻāĻā§āĻ¯āĻžā§° āĻā§āĻŖāĻĢāĻ˛ āĻšāĻŋāĻāĻžāĻĒā§ āĻĒā§ā§°āĻāĻžāĻļ āĻā§°āĻŋāĻŦ āĻ¨ā§ā§ąāĻžā§°āĻŋāĨ¤
The first prime number is 2 (the only even prime number). āĻĒā§ā§°āĻĨāĻŽ āĻŽā§āĻ˛āĻŋāĻ āĻ¸āĻāĻā§āĻ¯āĻž 2, āĻā§°ā§ āĻ āĻāĻāĻŽāĻžāĻ¤ā§ā§° āĻ¯ā§āĻā§āĻŽ (Even) āĻŽā§āĻ˛āĻŋāĻ āĻ¸āĻāĻā§āĻ¯āĻžāĨ¤
Not Prime (Composite) Numbers / āĻ āĻŽā§āĻ˛āĻŋāĻ (āĻ¯ā§āĻāĻŋāĻ) āĻ¸āĻāĻā§āĻ¯āĻž : These numbers have more than two divisors. āĻāĻ āĻ¸āĻāĻā§āĻ¯āĻžāĻŦā§ā§°ā§° āĻĻā§āĻāĻžāĻ¤āĻā§ āĻ āĻ§āĻŋāĻ āĻā§āĻŖāĻ¨ā§āĻ¯āĻŧāĻ āĻĨāĻžāĻā§āĨ¤
Examples / āĻāĻĻāĻžāĻšā§°āĻŖ:
4 → Divisors: 1, 2, 4 → Not Prime (4 → āĻā§āĻŖāĻ¨ā§āĻ¯āĻŧāĻ: 1, 2, 4 → āĻŽā§āĻ˛āĻŋāĻ āĻ¨āĻšāĻ¯āĻŧ)
6 → Divisors: 1, 2, 3, 6 → Not Prime (6 → āĻā§āĻŖāĻ¨ā§āĻ¯āĻŧāĻ: 1, 2, 3, 6 → āĻŽā§āĻ˛āĻŋāĻ āĻ¨āĻšāĻ¯āĻŧ)
Examples of Prime Numbers / āĻŽā§āĻ˛āĻŋāĻ āĻ¸āĻāĻā§āĻ¯āĻžā§° āĻāĻĻāĻžāĻšā§°āĻŖ : 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, ...
Prime Numbers from 1-1000
Total Prime numbers - 1 to 100 is 25(Numbers are : 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97)
Total Prime numbers - 201-300 is 16(Numbers are : 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293)
Total Prime numbers - 301-400 is 16(Numbers are : 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397)
Total Prime numbers - 401-500 is 17(Numbers are : 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499)
Total Prime numbers - 501-600 is 14(Numbers are : 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599)
Total Prime numbers - 601-700 is 16(Numbers are : 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691)
Total Prime numbers - 701-800 is 14(Numbers are : 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797)
Total Prime numbers - 801-900 is 15(Numbers are : 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887)
Total Prime numbers - 901-1000 is 14(Numbers are : 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997)
Total Number of Prime Numbers (1 to 1000) = 168
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Q. How many prime numbers are there between 1 and 50 ?āĻĒā§ā§°āĻļā§āĻ¨: 1 ā§° āĻĒā§°āĻž 50-ā§° āĻāĻŋāĻ¤ā§°āĻ¤ āĻāĻŋāĻŽāĻžāĻ¨āĻāĻž āĻŽā§āĻ˛āĻŋāĻ āĻ¸āĻāĻā§āĻ¯āĻž (Prime Numbers) āĻāĻā§