What is the 5061st prime number?
The 5061st prime number is 49223. The next prime is 49253 (a gap of 30) and the one before is 49211.
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 5061st one is 49223.
- 2
49223 is prime because no prime up to ā49223 ā 221.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5061st prime is close to 5061 Ć ln(5061) ā 43167, and here it is 49223.
- 4
49223 has no twin: neither 49221 nor 49225 is prime.
Primes around the 5061st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5058 | 49201 | 2 |
| 5059 | 49207 | 6 |
| 5060 | 49211 | 4 |
| 5061 | 49223 | 12 |
| 5062 | 49253 | 30 |
| 5063 | 49261 | 8 |
| 5064 | 49277 | 16 |
Questions
What is the 5061st prime number?
49223.
Which prime number is 49223?
49223 is the 5061st prime number.
What is the sum of the first 5061 primes?
117,440,240.