What is the 4962nd prime number?
The 4962nd prime number is 48193. The next prime is 48197 (a gap of 4) and the one before is 48187.
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 4962nd one is 48193.
- 2
48193 is prime because no prime up to ā48193 ā 219.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4962nd prime is close to 4962 Ć ln(4962) ā 42224, and here it is 48193.
- 4
48193 has no twin: neither 48191 nor 48195 is prime.
Primes around the 4962nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4959 | 48163 | 6 |
| 4960 | 48179 | 16 |
| 4961 | 48187 | 8 |
| 4962 | 48193 | 6 |
| 4963 | 48197 | 4 |
| 4964 | 48221 | 24 |
| 4965 | 48239 | 18 |
Questions
What is the 4962nd prime number?
48193.
Which prime number is 48193?
48193 is the 4962nd prime number.
What is the sum of the first 4962 primes?
112,615,363.