What is the 5032nd prime number?
The 5032nd prime number is 48953. The next prime is 48973 (a gap of 20) and the one before is 48947.
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 5032nd one is 48953.
- 2
48953 is prime because no prime up to ā48953 ā 221.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5032nd prime is close to 5032 Ć ln(5032) ā 42891, and here it is 48953.
- 4
48953 has no twin: neither 48951 nor 48955 is prime.
Primes around the 5032nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5029 | 48889 | 6 |
| 5030 | 48907 | 18 |
| 5031 | 48947 | 40 |
| 5032 | 48953 | 6 |
| 5033 | 48973 | 20 |
| 5034 | 48989 | 16 |
| 5035 | 48991 | 2 |
Questions
What is the 5032nd prime number?
48953.
Which prime number is 48953?
48953 is the 5032nd prime number.
What is the sum of the first 5032 primes?
116,016,285.