What is the 6998th prime number?
The 6998th prime number is 70627. The next prime is 70639 (a gap of 12) and the one before is 70621.
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 6998th one is 70627.
- 2
70627 is prime because no prime up to ā70627 ā 265.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6998th prime is close to 6998 Ć ln(6998) ā 61956, and here it is 70627.
- 4
70627 has no twin: neither 70625 nor 70629 is prime.
Primes around the 6998th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6995 | 70607 | 18 |
| 6996 | 70619 | 12 |
| 6997 | 70621 | 2 |
| 6998 | 70627 | 6 |
| 6999 | 70639 | 12 |
| 7000 | 70657 | 18 |
| 7001 | 70663 | 6 |
Questions
What is the 6998th prime number?
70627.
Which prime number is 70627?
70627 is the 6998th prime number.
What is the sum of the first 6998 primes?
233,319,777.