What is the 4981st prime number?
The 4981st prime number is 48413. The next prime is 48437 (a gap of 24) and the one before is 48409.
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 4981st one is 48413.
- 2
48413 is prime because no prime up to ā48413 ā 220.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4981st prime is close to 4981 Ć ln(4981) ā 42405, and here it is 48413.
- 4
48413 has no twin: neither 48411 nor 48415 is prime.
Primes around the 4981st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4978 | 48397 | 14 |
| 4979 | 48407 | 10 |
| 4980 | 48409 | 2 |
| 4981 | 48413 | 4 |
| 4982 | 48437 | 24 |
| 4983 | 48449 | 12 |
| 4984 | 48463 | 14 |
Questions
What is the 4981st prime number?
48413.
Which prime number is 48413?
48413 is the 4981st prime number.
What is the sum of the first 4981 primes?
113,533,412.