What is the 7229th prime number?
The 7229th prime number is 73121. The next prime is 73127 (a gap of 6) and the one before is 73091.
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 7229th one is 73121.
- 2
73121 is prime because no prime up to ā73121 ā 270.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7229th prime is close to 7229 Ć ln(7229) ā 64236, and here it is 73121.
- 4
73121 has no twin: neither 73119 nor 73123 is prime.
Primes around the 7229th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7226 | 73063 | 2 |
| 7227 | 73079 | 16 |
| 7228 | 73091 | 12 |
| 7229 | 73121 | 30 |
| 7230 | 73127 | 6 |
| 7231 | 73133 | 6 |
| 7232 | 73141 | 8 |
Questions
What is the 7229th prime number?
73121.
Which prime number is 73121?
73121 is the 7229th prime number.
What is the sum of the first 7229 primes?
249,923,410.