What is the 7005th prime number?
The 7005th prime number is 70717. The next prime is 70729 (a gap of 12) and the one before is 70709.
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 7005th one is 70717.
- 2
70717 is prime because no prime up to ā70717 ā 265.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7005th prime is close to 7005 Ć ln(7005) ā 62025, and here it is 70717.
- 4
70717 has no twin: neither 70715 nor 70719 is prime.
Primes around the 7005th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7002 | 70667 | 4 |
| 7003 | 70687 | 20 |
| 7004 | 70709 | 22 |
| 7005 | 70717 | 8 |
| 7006 | 70729 | 12 |
| 7007 | 70753 | 24 |
| 7008 | 70769 | 16 |
Questions
What is the 7005th prime number?
70717.
Which prime number is 70717?
70717 is the 7005th prime number.
What is the sum of the first 7005 primes?
233,814,516.