What is the 5036th prime number?
The 5036th prime number is 49003. The next prime is 49009 (a gap of 6) and the one before is 48991.
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 5036th one is 49003.
- 2
49003 is prime because no prime up to ā49003 ā 221.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5036th prime is close to 5036 Ć ln(5036) ā 42929, and here it is 49003.
- 4
49003 has no twin: neither 49001 nor 49005 is prime.
Primes around the 5036th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5033 | 48973 | 20 |
| 5034 | 48989 | 16 |
| 5035 | 48991 | 2 |
| 5036 | 49003 | 12 |
| 5037 | 49009 | 6 |
| 5038 | 49019 | 10 |
| 5039 | 49031 | 12 |
Questions
What is the 5036th prime number?
49003.
Which prime number is 49003?
49003 is the 5036th prime number.
What is the sum of the first 5036 primes?
116,212,241.