What is the 4953rd prime number?
The 4953rd prime number is 48091. The next prime is 48109 (a gap of 18) and the one before is 48079.
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 4953rd one is 48091.
- 2
48091 is prime because no prime up to ā48091 ā 219.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4953rd prime is close to 4953 Ć ln(4953) ā 42139, and here it is 48091.
- 4
48091 has no twin: neither 48089 nor 48093 is prime.
Primes around the 4953rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4950 | 48049 | 20 |
| 4951 | 48073 | 24 |
| 4952 | 48079 | 6 |
| 4953 | 48091 | 12 |
| 4954 | 48109 | 18 |
| 4955 | 48119 | 10 |
| 4956 | 48121 | 2 |
Questions
What is the 4953rd prime number?
48091.
Which prime number is 48091?
48091 is the 4953rd prime number.
What is the sum of the first 4953 primes?
112,182,004.