What is the 7001st prime number?
The 7001st prime number is 70663. The next prime is 70667 (a gap of 4) and the one before is 70657.
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 7001st one is 70663.
- 2
70663 is prime because no prime up to ā70663 ā 265.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7001st prime is close to 7001 Ć ln(7001) ā 61986, and here it is 70663.
- 4
70663 has no twin: neither 70661 nor 70665 is prime.
Primes around the 7001st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6998 | 70627 | 6 |
| 6999 | 70639 | 12 |
| 7000 | 70657 | 18 |
| 7001 | 70663 | 6 |
| 7002 | 70667 | 4 |
| 7003 | 70687 | 20 |
| 7004 | 70709 | 22 |
Questions
What is the 7001st prime number?
70663.
Which prime number is 70663?
70663 is the 7001st prime number.
What is the sum of the first 7001 primes?
233,531,736.