What is the 7032nd prime number?
The 7032nd prime number is 70997. The next prime is 70999 (a gap of 2) and the one before is 70991.
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 7032nd one is 70997.
- 2
70997 is prime because no prime up to ā70997 ā 266.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7032nd prime is close to 7032 Ć ln(7032) ā 62291, and here it is 70997.
- 4
70997 is a twin prime: 70997 and 70999 are both prime.
Primes around the 7032nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7029 | 70979 | 10 |
| 7030 | 70981 | 2 |
| 7031 | 70991 | 10 |
| 7032 | 70997 | 6 |
| 7033 | 70999 | 2 |
| 7034 | 71011 | 12 |
| 7035 | 71023 | 12 |
Questions
What is the 7032nd prime number?
70997.
Which prime number is 70997?
70997 is the 7032nd prime number.
What is the sum of the first 7032 primes?
235,728,431.