What is the 1004th prime number?
The 1004th prime number is 7949. The next prime is 7951 (a gap of 2) and the one before is 7937.
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 1004th one is 7949.
- 2
7949 is prime because no prime up to ā7949 ā 89.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1004th prime is close to 1004 Ć ln(1004) ā 6939, and here it is 7949.
- 4
7949 is a twin prime: 7949 and 7951 are both prime.
Primes around the 1004th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1001 | 7927 | 8 |
| 1002 | 7933 | 6 |
| 1003 | 7937 | 4 |
| 1004 | 7949 | 12 |
| 1005 | 7951 | 2 |
| 1006 | 7963 | 12 |
| 1007 | 7993 | 30 |
Questions
What is the 1004th prime number?
7949.
Which prime number is 7949?
7949 is the 1004th prime number.
What is the sum of the first 1004 primes?
3,714,659.