What is the 1001st prime number?
The 1001st prime number is 7927. The next prime is 7933 (a gap of 6) and the one before is 7919.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 1001st one is 7927.
- 2
7927 is prime because no prime up to ā7927 ā 89.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1001st prime is close to 1001 Ć ln(1001) ā 6916, and here it is 7927.
- 4
7927 has no twin: neither 7925 nor 7929 is prime.
Primes around the 1001st
| Position | Prime | Gap from the previous |
|---|---|---|
| 998 | 7901 | 18 |
| 999 | 7907 | 6 |
| 1000 | 7919 | 12 |
| 1001 | 7927 | 8 |
| 1002 | 7933 | 6 |
| 1003 | 7937 | 4 |
| 1004 | 7949 | 12 |
Questions
What is the 1001st prime number?
7927.
Which prime number is 7927?
7927 is the 1001st prime number.
What is the sum of the first 1001 primes?
3,690,840.