What is the 7004th prime number?
The 7004th prime number is 70709. The next prime is 70717 (a gap of 8) and the one before is 70687.
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 7004th one is 70709.
- 2
70709 is prime because no prime up to ā70709 ā 265.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7004th prime is close to 7004 Ć ln(7004) ā 62015, and here it is 70709.
- 4
70709 has no twin: neither 70707 nor 70711 is prime.
Primes around the 7004th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7001 | 70663 | 6 |
| 7002 | 70667 | 4 |
| 7003 | 70687 | 20 |
| 7004 | 70709 | 22 |
| 7005 | 70717 | 8 |
| 7006 | 70729 | 12 |
| 7007 | 70753 | 24 |
Questions
What is the 7004th prime number?
70709.
Which prime number is 70709?
70709 is the 7004th prime number.
What is the sum of the first 7004 primes?
233,743,799.