Prime Numbers 1 to 1000 (All 168 Primes)
There are exactly 168 prime numbers between 1 and 1000. The smallest is 2, the only even prime, and the largest is 997. Primes make up 16.8% of all integers in this range, with 25 below 100.
168Total Primes
2Smallest (Only Even)
997Largest
16.8%Density
Prime Numbers from 1 to 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
Prime Numbers from 101 to 300
- 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
Prime Numbers from 301 to 500
- 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
Prime Numbers from 501 to 1000
- 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
| Interval | Prime Count | Cumulative Count |
|---|---|---|
| 1–100 | 25 | 25 |
| 101–200 | 21 | 46 |
| 201–300 | 16 | 62 |
| 301–400 | 16 | 78 |
| 401–500 | 17 | 95 |
| 501–600 | 14 | 109 |
| 601–700 | 16 | 125 |
| 701–800 | 14 | 139 |
| 801–900 | 15 | 154 |
| 901–1000 | 14 | 168 |
Frequently Asked Questions
| Question | Answer |
|---|---|
| How many prime numbers are there between 1 and 1000? | There are exactly 168 prime numbers. |
| What are the smallest and largest prime numbers up to 1000? | The smallest is 2 (the only even prime) and the largest is 997. |
| What is the twin prime pair closest to 1000? | (881, 883). |
| Is 1 a prime number? | No. 1 is neither prime nor composite, so the list starts at 2. |
| How many prime numbers are there between 1 and 100? | There are 25 prime numbers between 1 and 100, from 2 to 97. |
| What is the sum of all prime numbers up to 1000? | The sum of all 168 primes up to 1000 is 76,127. |
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Related Number Theory References
| Related Page | What You Will Find |
|---|---|
| Prime Numbers (1-10,000) | All 1,229 prime numbers from 1 to 10,000. Segmented by thousands with instant search, facts, and CSV export |
| Twin Primes up to 1000 | All 35 twin prime pairs with an instant pair checker. |
| Prime Factorization Table (1-100) | Prime factors and exponential form for every number from 1 to 100. |
| Co-Prime Numbers (1-100) | Co-prime rules, a pairs chart and a two-number co-prime tester. |