What is the 1007th prime number?
The 1007th prime number is 7993. The next prime is 8009 (a gap of 16) and the one before is 7963.
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 1007th one is 7993.
- 2
7993 is prime because no prime up to ā7993 ā 89.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1007th prime is close to 1007 Ć ln(1007) ā 6963, and here it is 7993.
- 4
7993 has no twin: neither 7991 nor 7995 is prime.
Primes around the 1007th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1004 | 7949 | 12 |
| 1005 | 7951 | 2 |
| 1006 | 7963 | 12 |
| 1007 | 7993 | 30 |
| 1008 | 8009 | 16 |
| 1009 | 8011 | 2 |
| 1010 | 8017 | 6 |
Questions
What is the 1007th prime number?
7993.
Which prime number is 7993?
7993 is the 1007th prime number.
What is the sum of the first 1007 primes?
3,738,566.