What is the 8121st prime number?
The 8121st prime number is 83203. The next prime is 83207 (a gap of 4) and the one before is 83177.
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 8121st one is 83203.
- 2
83203 is prime because no prime up to ā83203 ā 288.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8121st prime is close to 8121 Ć ln(8121) ā 73107, and here it is 83203.
- 4
83203 has no twin: neither 83201 nor 83205 is prime.
Primes around the 8121st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8118 | 83117 | 16 |
| 8119 | 83137 | 20 |
| 8120 | 83177 | 40 |
| 8121 | 83203 | 26 |
| 8122 | 83207 | 4 |
| 8123 | 83219 | 12 |
| 8124 | 83221 | 2 |
Questions
What is the 8121st prime number?
83203.
Which prime number is 83203?
83203 is the 8121st prime number.
What is the sum of the first 8121 primes?
319,655,692.