What is the 5062nd prime number?
The 5062nd prime number is 49253. The next prime is 49261 (a gap of 8) and the one before is 49223.
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 5062nd one is 49253.
- 2
49253 is prime because no prime up to ā49253 ā 221.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5062nd prime is close to 5062 Ć ln(5062) ā 43176, and here it is 49253.
- 4
49253 has no twin: neither 49251 nor 49255 is prime.
Primes around the 5062nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5059 | 49207 | 6 |
| 5060 | 49211 | 4 |
| 5061 | 49223 | 12 |
| 5062 | 49253 | 30 |
| 5063 | 49261 | 8 |
| 5064 | 49277 | 16 |
| 5065 | 49279 | 2 |
Questions
What is the 5062nd prime number?
49253.
Which prime number is 49253?
49253 is the 5062nd prime number.
What is the sum of the first 5062 primes?
117,489,493.