1. Example-1
1. prime numbers from 1 to 20
Solution:
| Number | Factors | Prime or Composite? | | 1 | 1 | neither Prime nor Composite | | 2 | 1,2 | Prime | | 3 | 1,3 | Prime | | 4 | 1,2,4 | Composite | | 5 | 1,5 | Prime | | 6 | 1,2,3,6 | Composite | | 7 | 1,7 | Prime | | 8 | 1,2,4,8 | Composite | | 9 | 1,3,9 | Composite | | 10 | 1,2,5,10 | Composite | | 11 | 1,11 | Prime | | 12 | 1,2,3,4,6,12 | Composite | | 13 | 1,13 | Prime | | 14 | 1,2,7,14 | Composite | | 15 | 1,3,5,15 | Composite | | 16 | 1,2,4,8,16 | Composite | | 17 | 1,17 | Prime | | 18 | 1,2,3,6,9,18 | Composite | | 19 | 1,19 | Prime | | 20 | 1,2,4,5,10,20 | Composite |
Prime numbers : between 1 and 20
2, 3, 5, 7, 11, 13, 17, 19
There are 8 prime numbers between 1 and 20
2. composite numbers from 50 to 60
Solution:
| Number | Factors | Prime or Composite? | | 50 | 1,2,5,10,25,50 | Composite | | 51 | 1,3,17,51 | Composite | | 52 | 1,2,4,13,26,52 | Composite | | 53 | 1,53 | Prime | | 54 | 1,2,3,6,9,18,27,54 | Composite | | 55 | 1,5,11,55 | Composite | | 56 | 1,2,4,7,8,14,28,56 | Composite | | 57 | 1,3,19,57 | Composite | | 58 | 1,2,29,58 | Composite | | 59 | 1,59 | Prime | | 60 | 1,2,3,4,5,6,10,12,15,20,30,60 | Composite |
Composite numbers : between 50 and 60
50, 51, 52, 54, 55, 56, 57, 58, 60
There are 9 composite numbers between 50 and 60
3. prime numbers from 1 to 100
Solution:
Prime numbers : between 1 and 100
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
There are 25 prime numbers between 1 and 100
4. prime numbers from 1 to 1000
Solution:
Prime numbers : between 1 and 1000
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, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997
There are 168 prime numbers between 1 and 1000
This material is intended as a summary. Use your textbook for detail explanation.
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