What is the 6999th prime number?
The 6999th prime number is 70639. The next prime is 70657 (a gap of 18) and the one before is 70627.
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 6999th one is 70639.
- 2
70639 is prime because no prime up to ā70639 ā 265.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6999th prime is close to 6999 Ć ln(6999) ā 61966, and here it is 70639.
- 4
70639 has no twin: neither 70637 nor 70641 is prime.
Primes around the 6999th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6996 | 70619 | 12 |
| 6997 | 70621 | 2 |
| 6998 | 70627 | 6 |
| 6999 | 70639 | 12 |
| 7000 | 70657 | 18 |
| 7001 | 70663 | 6 |
| 7002 | 70667 | 4 |
Questions
What is the 6999th prime number?
70639.
Which prime number is 70639?
70639 is the 6999th prime number.
What is the sum of the first 6999 primes?
233,390,416.