What is the 9070th prime number?
The 9070th prime number is 93997. The next prime is 94007 (a gap of 10) and the one before is 93983.
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 9070th one is 93997.
- 2
93997 is prime because no prime up to ā93997 ā 306.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9070th prime is close to 9070 Ć ln(9070) ā 82652, and here it is 93997.
- 4
93997 has no twin: neither 93995 nor 93999 is prime.
Primes around the 9070th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9067 | 93971 | 4 |
| 9068 | 93979 | 8 |
| 9069 | 93983 | 4 |
| 9070 | 93997 | 14 |
| 9071 | 94007 | 10 |
| 9072 | 94009 | 2 |
| 9073 | 94033 | 24 |
Questions
What is the 9070th prime number?
93997.
Which prime number is 93997?
93997 is the 9070th prime number.
What is the sum of the first 9070 primes?
403,770,589.