What is the 1006th prime number?
The 1006th prime number is 7963. The next prime is 7993 (a gap of 30) and the one before is 7951.
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 1006th one is 7963.
- 2
7963 is prime because no prime up to ā7963 ā 89.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1006th prime is close to 1006 Ć ln(1006) ā 6955, and here it is 7963.
- 4
7963 has no twin: neither 7961 nor 7965 is prime.
Primes around the 1006th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1003 | 7937 | 4 |
| 1004 | 7949 | 12 |
| 1005 | 7951 | 2 |
| 1006 | 7963 | 12 |
| 1007 | 7993 | 30 |
| 1008 | 8009 | 16 |
| 1009 | 8011 | 2 |
Questions
What is the 1006th prime number?
7963.
Which prime number is 7963?
7963 is the 1006th prime number.
What is the sum of the first 1006 primes?
3,730,573.