What is the 7030th prime number?
The 7030th prime number is 70981. The next prime is 70991 (a gap of 10) and the one before is 70979.
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 7030th one is 70981.
- 2
70981 is prime because no prime up to ā70981 ā 266.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7030th prime is close to 7030 Ć ln(7030) ā 62271, and here it is 70981.
- 4
70981 is a twin prime: 70979 and 70981 are both prime.
Primes around the 7030th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7027 | 70957 | 6 |
| 7028 | 70969 | 12 |
| 7029 | 70979 | 10 |
| 7030 | 70981 | 2 |
| 7031 | 70991 | 10 |
| 7032 | 70997 | 6 |
| 7033 | 70999 | 2 |
Questions
What is the 7030th prime number?
70981.
Which prime number is 70981?
70981 is the 7030th prime number.
What is the sum of the first 7030 primes?
235,586,443.