What is the 7033rd prime number?
The 7033rd prime number is 70999. The next prime is 71011 (a gap of 12) and the one before is 70997.
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 7033rd one is 70999.
- 2
70999 is prime because no prime up to ā70999 ā 266.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7033rd prime is close to 7033 Ć ln(7033) ā 62301, and here it is 70999.
- 4
70999 is a twin prime: 70997 and 70999 are both prime.
Primes around the 7033rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7030 | 70981 | 2 |
| 7031 | 70991 | 10 |
| 7032 | 70997 | 6 |
| 7033 | 70999 | 2 |
| 7034 | 71011 | 12 |
| 7035 | 71023 | 12 |
| 7036 | 71039 | 16 |
Questions
What is the 7033rd prime number?
70999.
Which prime number is 70999?
70999 is the 7033rd prime number.
What is the sum of the first 7033 primes?
235,799,430.