What is the 4964th prime number?
The 4964th prime number is 48221. The next prime is 48239 (a gap of 18) and the one before is 48197.
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 4964th one is 48221.
- 2
48221 is prime because no prime up to ā48221 ā 219.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4964th prime is close to 4964 Ć ln(4964) ā 42243, and here it is 48221.
- 4
48221 has no twin: neither 48219 nor 48223 is prime.
Primes around the 4964th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4961 | 48187 | 8 |
| 4962 | 48193 | 6 |
| 4963 | 48197 | 4 |
| 4964 | 48221 | 24 |
| 4965 | 48239 | 18 |
| 4966 | 48247 | 8 |
| 4967 | 48259 | 12 |
Questions
What is the 4964th prime number?
48221.
Which prime number is 48221?
48221 is the 4964th prime number.
What is the sum of the first 4964 primes?
112,711,781.