What is the 1002nd prime number?
The 1002nd prime number is 7933. The next prime is 7937 (a gap of 4) and the one before is 7927.
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 1002nd one is 7933.
- 2
7933 is prime because no prime up to ā7933 ā 89.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1002nd prime is close to 1002 Ć ln(1002) ā 6924, and here it is 7933.
- 4
7933 has no twin: neither 7931 nor 7935 is prime.
Primes around the 1002nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 999 | 7907 | 6 |
| 1000 | 7919 | 12 |
| 1001 | 7927 | 8 |
| 1002 | 7933 | 6 |
| 1003 | 7937 | 4 |
| 1004 | 7949 | 12 |
| 1005 | 7951 | 2 |
Questions
What is the 1002nd prime number?
7933.
Which prime number is 7933?
7933 is the 1002nd prime number.
What is the sum of the first 1002 primes?
3,698,773.