go get github.com/wenzhenxi/gorsa
package main

import (
	"log"
	"errors"
	"github.com/wenzhenxi/gorsa"
)

var Pubkey = `-----BEGIN Public key-----
MIIBIjANBgkqhkiG9w0BAQEFAAOCAQ8AMIIBCgKCAQEAk+89V7vpOj1rG6bTAKYM
56qmFLwNCBVDJ3MltVVtxVUUByqc5b6u909MmmrLBqS//PWC6zc3wZzU1+ayh8xb
UAEZuA3EjlPHIaFIVIz04RaW10+1xnby/RQE23tDqsv9a2jv/axjE/27b62nzvCW
eItu1kNQ3MGdcuqKjke+LKhQ7nWPRCOd/ffVqSuRvG0YfUEkOz/6UpsPr6vrI331
hWRB4DlYy8qFUmDsyvvExe4NjZWblXCqkEXRRAhi2SQRCl3teGuIHtDUxCskRIDi
aMD+Qt2Yp+Vvbz6hUiqIWSIH1BoHJer/JOq2/O6X3cmuppU4AdVNgy8Bq236iXvr
MQIDAQAB
-----END Public key-----
`

var Pirvatekey = `-----BEGIN Private key-----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-----END Private key-----
`


func main() {
	// Public key encryption private key decryption
	if err := applyPubEPriD(); err != nil {
		log.Println(err)
	}
	// Public key decryption private key encryption
	if err := applyPriEPubD(); err != nil {
		log.Println(err)
	}
}

// Public key encryption private key decryption
func applyPubEPriD() error {
	pubenctypt, err := gorsa.PublicEncrypt(`hello world`,Pubkey)
	if err != nil {
		return err
	}

	pridecrypt, err := gorsa.PriKeyDecrypt(pubenctypt,Pirvatekey)
	if err != nil {
		return err
	}
	if string(pridecrypt) != `hello world` {
		return errors.New(`Decryption failed`)
	}
	return nil
}

// Public key decryption private key encryption
func applyPriEPubD() error {
	prienctypt, err := gorsa.PriKeyEncrypt(`hello world`,Pirvatekey)
	if err != nil {
		return err
	}

	pubdecrypt, err := gorsa.PublicDecrypt(prienctypt,Pubkey)
	if err != nil {
		return err
	}
	if string(pubdecrypt) != `hello world` {
		return errors.New(`Decryption failed`)
	}
	return nil
}
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